Betty baked 264 cupcakes. ⁵₈ of the cupcakes were peach cupcakes. The rest were mango cupcakes. She gave an equal number of peach cupcakes and mango cupcakes away and had 4 times as many peach cupcakes as mango cupcakes left. How many cupcakes did she give away?

	Peach cupcakes	Mango cupcakes	Difference
Before	5x3 = 15 u	3x3 = 9 u	2x3 = 6 u
Change	- 7 u	- 7 u
After	4x2 = 8 u	1x2 = 2 u	3x2 = 6 u

Since Betty gave away an equal number of peach cupcakes and mango cupcakes, the difference in the number of peach cupcakes and mango cupcakes remains unchanged.  Make the difference in the peach cupcakes and mango cupcakes the same.  LCM of 2 and 3 is 6.

Total number of cupcakes at first
= 15 u + 9 u
= 24 u

24 u = 264

1 u = 264 ÷ 24 = 11

Number of cupcakes that Betty gave away
= 7 u + 7 u
= 14 u
= 14 x 11 
= 154

Answer(s): 154