Question

Two boxes of apples contain a total of 24 apples. If you have the number of apples in the first box and add 4 apples to the second box, the total

changes to 20 apples. How many apples are in each box initially?
OA 12 and 12
OB. 18 and 6
OC.
16 and 8
10 and 14
D.

Answer 1

C. 16 and 8

Explanation:

You want the number of apples in each of two boxes if halving the number in the first box and adding 4 to the second box changes the total from 24 to 20.

Equations

We can write equations for this scenario as ...

x + y = 24

(x/2) +(y +4) = 20

Solution

Subtracting the second equation from the first gives ...

(x +y) -(x/2 +y +4) = (24) -(20)

x/2 -4 = 4 . . . . . . . . . simplify

x = 2(8) = 16 . . . . . . . add 4, multiply by 2

y = 24 -16 = 8

The two boxes initially contained 16 and 8 apples.

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