Elyse made 132 more blueberry biscuits than cheese biscuits. After she gave away ³₇ of the blueberry biscuits and ¹₆ of the cheese biscuits, there were an equal number of blueberry biscuits and cheese biscuits left. How many blueberry biscuits did she give away?

	Blueberry biscuits	Cheese biscuits	Difference
Before	7x5 = 35 u	6x4 = 24 u	11 u
Change	- 3x5 = - 15 u	- 1x4 = - 4 u
After	4x5 = 20 u	5x4 = 20 u

Fraction of blueberry biscuits left
= 1 - ³₇
= ⁴₇

Fraction of cheese biscuits left
= 1 - ¹₆
= ⁵₆

The number of blueberry biscuits and cheese biscuits in the end is the same. Make the numerators the same.  LCM of 5 and 4 is 20.

⁴₇ of blueberry biscuits = ⁵₆ of cheese biscuits
²⁰₃₅ of blueberry biscuits = ²⁰₂₄ of cheese biscuits

Number of more blueberry biscuits than cheese biscuits at first
= 35 u - 24 u
= 11 u

11 u = 132

1 u = 132 ÷ 11 = 12

Number of blueberry biscuits that Elyse gave away
= 35 u - 20 u
= 15 u
= 15 x 12
= 180

Answer(s): 180