Wendy baked 240 biscuits.
35 of the biscuits were mocha biscuits. The rest were cherry biscuits. She gave an equal number of mocha biscuits and cherry biscuits away and had 5 times as many mocha biscuits as cherry biscuits left. How many biscuits did she give away?
|
Mocha biscuits |
Cherry biscuits |
Difference |
Before |
3x4 = 12 u |
2x4 = 8 u |
1x4 = 4 u |
Change |
- 7 u |
- 7 u |
|
After |
5x1 = 5 u |
1x1 = 1 u |
4x1 = 4 u |
Since Wendy gave away an equal number of mocha biscuits and cherry biscuits, the difference in the number of mocha biscuits and cherry biscuits remains unchanged. Make the difference in the mocha biscuits and cherry biscuits the same. LCM of 1 and 4 is 4.
Total number of biscuits at first
= 12 u + 8 u
= 20 u
20 u = 240
1 u = 240 ÷ 20 = 12
Number of biscuits that Wendy gave away
= 7 u + 7 u
= 14 u
= 14 x 12
= 168
Answer(s): 168