Billy had 60% fewer mini cupcakes than Eric. After Eric gave 224 mini cupcakes to Billy, Billy had ³₄ as many mini cupcakes as Eric. How many mini cupcakes did each of them have in the end?

1. Eric
2. Billy

	Billy	Eric	Total
Before	2x7 = 14 u	5x7 = 35 u	7x7 = 49 u
Change	+ 224	- 224
After	3x7 = 21 u	4x7 =  28 u	7x7 = 49 u

Number of mini cupcakes that Billy had at first in percentage
= 100% - 60%
= 40%

40% = ⁴⁰₁₀₀ = ²₅

The total number of mini cupcakes at first and in the end remains unchanged. Make the total number of mini cupcakes the same. LCM of 7 and 7 is 49.

Number of mini cupcakes that Eric gave to Billy
= 35 u - 28 u
= 7 u

7 u = 224

1 u = 224 ÷ 7 = 32

Number of mini cupcakes that Billy had in the end
= 21 u
= 21 x 32
= 672

Number of mini cupcakes that Eric had in the end
= 28 u
= 28 x 32
= 896

Answer(s): (a) 672; (b) 896