Rachel baked a total of 230 macarons and shortbreads. After giving away 75% of the shortbreads and 80% of the macarons, she was left with twice as many shortbreads as macarons. Find the number of macarons Rachel gave away.
| |
Shortbreads |
Macarons |
| Before |
4x2 =
8 u
|
5 u |
| Change |
- 3x2 =
6 u |
- 4 u |
| After |
1x2 =
2 u |
1 u |
Comparing shortbreads and
macarons in the end |
2x1 =
2 u |
1x1 =
1 u |
75% =
75100 =
3480% =
80100 =
45The 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
= 8 u + 5 u
= 13 u
13 u = 230
1 u = 230 ÷ 13 = 8
Number of macarons that Rachel gave away
= 4 u
= 4 x 8
= 32
Answer(s): 32
