Olivia baked a total of 332 scones and macarons. After giving away 90% of the macarons and 80% of the scones, she was left with five times as many macarons as scones. Find the number of scones Olivia gave away.
|
Macarons |
Scones |
Before |
10x5 = 50 u
|
5 u |
Change |
- 9x5 = 45 u |
- 4 u |
After |
1x5 = 5 u |
1 u |
Comparing macarons and scones in the end |
5x1 = 5 u |
1x1 = 1 u |
90% =
90100 =
91080% =
80100 =
45The number of macarons in the end is the repeated identity. Make the number of macarons in the end the same. LCM of 1 and 5 is 5.
Total number of pastries at first
= 50 u + 5 u
= 55 u
55 u = 332
1 u = 332 ÷ 55 = 3
Number of scones that Olivia gave away
= 4 u
= 4 x 3
= 12
Answer(s): 12