Emma baked a total of 442 muffins and cupcakes. After giving away 80% of the cupcakes and 90% of the muffins, she was left with thrice as many cupcakes as muffins. Find the number of muffins Emma gave away.
| |
Cupcakes |
Muffins |
| Before |
5x3 =
15 u
|
10 u |
| Change |
- 4x3 =
12 u |
- 9 u |
| After |
1x3 =
3 u |
1 u |
Comparing cupcakes and
muffins in the end |
3x1 =
3 u |
1x1 =
1 u |
80% =
80100 =
4590% =
90100 =
910The number of cupcakes in the end is the repeated identity. Make the number of cupcakes in the end the same. LCM of 1 and 3 is 3.
Total number of pastries at first
= 15 u + 10 u
= 25 u
25 u = 442
1 u = 442 ÷ 25 = 8
Number of muffins that Emma gave away
= 9 u
= 9 x 8
= 72
Answer(s): 72
