Cindy made 253 more cheese wafers than banana wafers. After she gave away ⁵₇ of the cheese wafers and ¹₆ of the banana wafers, there were an equal number of cheese wafers and banana wafers left. How many cheese wafers did she give away?

	Cheese wafers	Banana wafers	Difference
Before	7x5 = 35 u	6x2 = 12 u	23 u
Change	- 5x5 = - 25 u	- 1x2 = - 2 u
After	2x5 = 10 u	5x2 = 10 u

Fraction of cheese wafers left
= 1 - ⁵₇
= ²₇

Fraction of banana wafers left
= 1 - ¹₆
= ⁵₆

The number of cheese wafers and banana wafers in the end is the same. Make the numerators the same.  LCM of 5 and 2 is 10.

²₇ of cheese wafers = ⁵₆ of banana wafers
¹⁰₃₅ of cheese wafers = ¹⁰₁₂ of banana wafers

Number of more cheese wafers than banana wafers at first
= 35 u - 12 u
= 23 u

23 u = 253

1 u = 253 ÷ 23 = 11

Number of cheese wafers that Cindy gave away
= 35 u - 10 u
= 25 u
= 25 x 11
= 275

Answer(s): 275