Question

The Bransen Family picked 20 red apples, 28 yellow apples, and 12 bushel of green apples. Starting the following day, they ate 2 red apples and 3 yellow apples every day. When 6 red apples are left, how many yellow apples will be left?

Answer 1

9514 1404 393

Answer:

7

Explanation:

The number of red apples (r) in terms of the number of days (d) is ...

r = 20 -2d

The number of yellow apples (y) in terms of the number of days (d) is ...

y = 28 -3d

Using the first equation to write and expression for d, we can substitute into the second equation.

r -20 = -2d

(20 -r)/2 = d . . . . from the first equation

Then ...

y = 28 -3(20 -r)/2 = 28 -30 +3/2r = (3/2)r -2

For 6 red apples left, the number of yellow apples left is ...

y = (3/2)(6) -2 = 7

7 yellow apples will be left when 6 red apples are left.