Zoe baked a total of 414 macarons and biscuits. After giving away 90% of the biscuits and 75% of the macarons, she was left with four times as many biscuits as macarons. Find the number of macarons Zoe gave away.
|
Biscuits |
Macarons |
Before |
10x4 = 40 u
|
4 u |
Change |
- 9x4 = 36 u |
- 3 u |
After |
1x4 = 4 u |
1 u |
Comparing biscuits and macarons in the end |
4x1 = 4 u |
1x1 = 1 u |
90% =
90100 =
91075% =
75100 =
34The number of biscuits in the end is the repeated identity. Make the number of biscuits in the end the same. LCM of 1 and 4 is 4.
Total number of pastries at first
= 40 u + 4 u
= 44 u
44 u = 414
1 u = 414 ÷ 44 = 4
Number of macarons that Zoe gave away
= 3 u
= 3 x 4
= 12
Answer(s): 12