Sabrina baked a total of 272 macarons and shortbreads. After giving away 90% of the shortbreads and 75% of the macarons, she was left with thrice as many shortbreads as macarons. Find the number of macarons Sabrina gave away.
|
Shortbreads |
Macarons |
Before |
10x3 = 30 u
|
4 u |
Change |
- 9x3 = 27 u |
- 3 u |
After |
1x3 = 3 u |
1 u |
Comparing shortbreads and macarons in the end |
3x1 = 3 u |
1x1 = 1 u |
90% =
90100 =
91075% =
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 3 is 3.
Total number of pastries at first
= 30 u + 4 u
= 34 u
34 u = 272
1 u = 272 ÷ 34 = 5
Number of macarons that Sabrina gave away
= 3 u
= 3 x 5
= 15
Answer(s): 15