Linda made 230 more coffee muffins than strawberry muffins. After she gave away ⁵₇ of the coffee muffins and ¹₆ of the strawberry muffins, there were an equal number of coffee muffins and strawberry muffins left. How many coffee muffins did she give away?

	Coffee muffins	Strawberry muffins	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 coffee muffins left
= 1 - ⁵₇
= ²₇

Fraction of strawberry muffins left
= 1 - ¹₆
= ⁵₆

The number of coffee muffins and strawberry muffins in the end is the same. Make the numerators the same.  LCM of 5 and 2 is 10.

²₇ of coffee muffins = ⁵₆ of strawberry muffins
¹⁰₃₅ of coffee muffins = ¹⁰₁₂ of strawberry muffins

Number of more coffee muffins than strawberry muffins at first
= 35 u - 12 u
= 23 u

23 u = 230

1 u = 230 ÷ 23 = 10

Number of coffee muffins that Linda gave away
= 35 u - 10 u
= 25 u
= 25 x 10
= 250

Answer(s): 250