Mathematics

Question

The mass of two sacks of potatoes is 168 grams. One-eight of the mass of Sack A and three-quarter of the mass of Sack B is 76 grams. Write an equation to find the mass of Sack A. ​

1 Answer

  • Answer:

    1/8(A)+(3/4)(168-A)=76 is an equation to find the mass of A, the mass of A is 80 grams.

    Step-by-step explanation:

    What do we know?

    Both sacks together are 168 grams. Therefore;

    A+B=168

    One eighth of sack A and three quarters of sack B is equal to 76 grams. Therefore;

    1/8(A)+(3/4)B=76

    Let's solve using the substitution method to find A. First, we need to isolate and then substitute B for an expression containing A.

    A+B=168

    B=168-A

    Now that we have isolated B, we can substitute '160-A' for B in the other equation.

    1/8(A)+(3/4)(168-A)=76

    1/8(A)-3/4(A)+126=76

    1/8(A)-3/4(A)+126=-50

    -5/8(A)=-50

    A=80

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