I need help understanding/solving this word problem.

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The question:




A sample is marked as containing 27.3% calcium carbonate by mass (a) How many grams of calcium carbonate are contained in 64.33 grams of the sample? (b) How many grams of the sample would contain 11.4 grams of calcium carbonate?




I’m studying general chemistry however this is a question from chapter 1 of my book and like all sciences, chemistry uses mathematics and this question is more of a math orientated one.



I solved question ‘a’ which is 17.56g (please correct me if I am wrong) but I am having trouble figuring out a way to solve question ‘b’. From what I have read I need to find how many grams of the sample contain 11.4g of calcium carbonate.




(b) How many grams of the sample would contain 11.4 grams of calcium carbonate?




Honestly I have no idea how to go about solving the question; so after many (failed) attempts of formulating a way to find the answer I decided to turn to this website for help, this is my first time here so I do not really know how things work here so go easy on me :)




percentages word-problem




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    The question:




    A sample is marked as containing 27.3% calcium carbonate by mass (a) How many grams of calcium carbonate are contained in 64.33 grams of the sample? (b) How many grams of the sample would contain 11.4 grams of calcium carbonate?




    I’m studying general chemistry however this is a question from chapter 1 of my book and like all sciences, chemistry uses mathematics and this question is more of a math orientated one.



    I solved question ‘a’ which is 17.56g (please correct me if I am wrong) but I am having trouble figuring out a way to solve question ‘b’. From what I have read I need to find how many grams of the sample contain 11.4g of calcium carbonate.




    (b) How many grams of the sample would contain 11.4 grams of calcium carbonate?




    Honestly I have no idea how to go about solving the question; so after many (failed) attempts of formulating a way to find the answer I decided to turn to this website for help, this is my first time here so I do not really know how things work here so go easy on me :)




    percentages word-problem




    share|cite|improve this question























      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      The question:




      A sample is marked as containing 27.3% calcium carbonate by mass (a) How many grams of calcium carbonate are contained in 64.33 grams of the sample? (b) How many grams of the sample would contain 11.4 grams of calcium carbonate?




      I’m studying general chemistry however this is a question from chapter 1 of my book and like all sciences, chemistry uses mathematics and this question is more of a math orientated one.



      I solved question ‘a’ which is 17.56g (please correct me if I am wrong) but I am having trouble figuring out a way to solve question ‘b’. From what I have read I need to find how many grams of the sample contain 11.4g of calcium carbonate.




      (b) How many grams of the sample would contain 11.4 grams of calcium carbonate?




      Honestly I have no idea how to go about solving the question; so after many (failed) attempts of formulating a way to find the answer I decided to turn to this website for help, this is my first time here so I do not really know how things work here so go easy on me :)




      percentages word-problem




      share|cite|improve this question













      The question:




      A sample is marked as containing 27.3% calcium carbonate by mass (a) How many grams of calcium carbonate are contained in 64.33 grams of the sample? (b) How many grams of the sample would contain 11.4 grams of calcium carbonate?




      I’m studying general chemistry however this is a question from chapter 1 of my book and like all sciences, chemistry uses mathematics and this question is more of a math orientated one.



      I solved question ‘a’ which is 17.56g (please correct me if I am wrong) but I am having trouble figuring out a way to solve question ‘b’. From what I have read I need to find how many grams of the sample contain 11.4g of calcium carbonate.




      (b) How many grams of the sample would contain 11.4 grams of calcium carbonate?




      Honestly I have no idea how to go about solving the question; so after many (failed) attempts of formulating a way to find the answer I decided to turn to this website for help, this is my first time here so I do not really know how things work here so go easy on me :)





      percentages word-problem





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      edited Jul 25 at 16:03









      Shaun

      7,32092972




      7,32092972









      asked Jul 25 at 15:49









      Otaku

      134




      134




















          1 Answer
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          accepted










          Hint:



          Write down the equality that led you to the answer $17.56$ for (a):



          $$0.273 times 64.33=17.56209$$
          Replace the answer by the stated goal in (b), and replace 64.33 with a question mark:
          $$0.273 times ?=11.4$$
          Can you solve this?






          share|cite|improve this answer





















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            1 Answer
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            active

            oldest

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            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            1
            down vote



            accepted










            Hint:



            Write down the equality that led you to the answer $17.56$ for (a):



            $$0.273 times 64.33=17.56209$$
            Replace the answer by the stated goal in (b), and replace 64.33 with a question mark:
            $$0.273 times ?=11.4$$
            Can you solve this?






            share|cite|improve this answer

























              up vote
              1
              down vote



              accepted










              Hint:



              Write down the equality that led you to the answer $17.56$ for (a):



              $$0.273 times 64.33=17.56209$$
              Replace the answer by the stated goal in (b), and replace 64.33 with a question mark:
              $$0.273 times ?=11.4$$
              Can you solve this?






              share|cite|improve this answer























                up vote
                1
                down vote



                accepted







                up vote
                1
                down vote



                accepted






                Hint:



                Write down the equality that led you to the answer $17.56$ for (a):



                $$0.273 times 64.33=17.56209$$
                Replace the answer by the stated goal in (b), and replace 64.33 with a question mark:
                $$0.273 times ?=11.4$$
                Can you solve this?






                share|cite|improve this answer













                Hint:



                Write down the equality that led you to the answer $17.56$ for (a):



                $$0.273 times 64.33=17.56209$$
                Replace the answer by the stated goal in (b), and replace 64.33 with a question mark:
                $$0.273 times ?=11.4$$
                Can you solve this?







                share|cite|improve this answer













                share|cite|improve this answer



                share|cite|improve this answer











                answered Jul 25 at 15:54









                Arnaud Mortier

                18.8k22159




                18.8k22159






















                     

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