Elyse baked a total of 249 shortbreads and macarons. After giving away 80% of the macarons and 90% of the shortbreads, she was left with twice as many macarons as shortbreads. Find the number of shortbreads Elyse gave away.
| |
Macarons |
Shortbreads |
| Before |
5x2 =
10 u
|
10 u |
| Change |
- 4x2 =
8 u |
- 9 u |
| After |
1x2 =
2 u |
1 u |
Comparing macarons and
shortbreads in the end |
2x1 =
2 u |
1x1 =
1 u |
80% =
80100 =
4590% =
90100 =
910The number of macarons in the end is the repeated identity. Make the number of macarons in the end the same. LCM of 1 and 2 is 2.
Total number of pastries at first
= 10 u + 10 u
= 20 u
20 u = 249
1 u = 249 ÷ 20 = 6
Number of shortbreads that Elyse gave away
= 9 u
= 9 x 6
= 54
Answer(s): 54
