Question

The number of pies sold by the Chipper Bakery is 3/4 of the number of cookies sold by the Yummy Cookie Company. If both the businesses sell 16 more items, the Chipper Bakery will have sold 5/6 of the number of items sold by the Yummy Cookie Company. How many cookies has the Yummy Cookie Company currently sold?

Answer 1

Number of cookies sold by the Yummy Company = 32.

Explanation:

Let the number of cookies sold by the yummy company be x.

Then the number of pies sold by The Chipper Bakery is 3/4 x.

When they have 16, more we have:

Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)

So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)

= 7/4 x + 32 = 11/6 x + 16 + 80/6

7/4 x - 11/6x = 16 + 80/6 - 32

-1/12 x = -2 2/3

x = -8/3 * -12

x = 32.