Xandra baked a total of 422 macarons and shortbreads. After giving away 80% of the shortbreads and 75% of the macarons, she was left with twice as many shortbreads as macarons. Find the number of macarons Xandra gave away.
| |
Shortbreads |
Macarons |
| Before |
5x2 =
10 u
|
4 u |
| Change |
- 4x2 =
8 u |
- 3 u |
| After |
1x2 =
2 u |
1 u |
Comparing shortbreads and
macarons in the end |
2x1 =
2 u |
1x1 =
1 u |
80% =
80100 =
4575% =
75100 =
34The number of shortbreads in the end is the repeated identity. Make the number of shortbreads in the end the same. LCM of 1 and 2 is 2.
Total number of pastries at first
= 10 u + 4 u
= 14 u
14 u = 422
1 u = 422 ÷ 14 = 3
Number of macarons that Xandra gave away
= 3 u
= 3 x 3
= 9
Answer(s): 9
