Yen baked a total of 473 macarons and muffins. After giving away 90% of the muffins and 80% of the macarons, she was left with thrice as many muffins as macarons. Find the number of macarons Yen gave away.
|
Muffins |
Macarons |
Before |
10x3 = 30 u
|
5 u |
Change |
- 9x3 = 27 u |
- 4 u |
After |
1x3 = 3 u |
1 u |
Comparing muffins and macarons in the end |
3x1 = 3 u |
1x1 = 1 u |
90% =
90100 =
91080% =
80100 =
45The number of muffins in the end is the repeated identity. Make the number of muffins in the end the same. LCM of 1 and 3 is 3.
Total number of pastries at first
= 30 u + 5 u
= 35 u
35 u = 473
1 u = 473 ÷ 35 = 12
Number of macarons that Yen gave away
= 4 u
= 4 x 12
= 48
Answer(s): 48