Barbara baked 288 biscuits. ⁵₈ of the biscuits were cherry biscuits. The rest were strawberry biscuits. She gave an equal number of cherry biscuits and strawberry biscuits away and had 4 times as many cherry biscuits as strawberry biscuits left. How many biscuits did she give away?

	Cherry biscuits	Strawberry biscuits	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 Barbara gave away an equal number of cherry biscuits and strawberry biscuits, the difference in the number of cherry biscuits and strawberry biscuits remains unchanged.  Make the difference in the cherry biscuits and strawberry biscuits the same.  LCM of 2 and 3 is 6.

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

24 u = 288

1 u = 288 ÷ 24 = 12

Number of biscuits that Barbara gave away
= 7 u + 7 u
= 14 u
= 14 x 12 
= 168

Answer(s): 168