Emily baked a total of 210 macarons and tarts. After giving away 90% of the tarts and 80% of the macarons, she was left with thrice as many tarts as macarons. Find the number of macarons Emily gave away.
| |
Tarts |
Macarons |
| Before |
10x3 =
30 u
|
5 u |
| Change |
- 9x3 =
27 u |
- 4 u |
| After |
1x3 =
3 u |
1 u |
Comparing tarts and
macarons in the end |
3x1 =
3 u |
1x1 =
1 u |
90% =
90100 =
91080% =
80100 =
45The number of tarts in the end is the repeated identity. Make the number of tarts in the end the same. LCM of 1 and 3 is 3.
Total number of pastries at first
= 30 u + 5 u
= 35 u
35 u = 210
1 u = 210 ÷ 35 = 9
Number of macarons that Emily gave away
= 4 u
= 4 x 9
= 36
Answer(s): 36
