Hilda baked a total of 454 shortbreads and muffins. After giving away 80% of the muffins and 90% of the shortbreads, she was left with four times as many muffins as shortbreads. Find the number of shortbreads Hilda gave away.
|
Muffins |
Shortbreads |
Before |
5x4 = 20 u
|
10 u |
Change |
- 4x4 = 16 u |
- 9 u |
After |
1x4 = 4 u |
1 u |
Comparing muffins and shortbreads in the end |
4x1 = 4 u |
1x1 = 1 u |
80% =
80100 =
4590% =
90100 =
910The number of muffins in the end is the repeated identity. Make the number of muffins in the end the same. LCM of 1 and 4 is 4.
Total number of pastries at first
= 20 u + 10 u
= 30 u
30 u = 454
1 u = 454 ÷ 30 = 12
Number of shortbreads that Hilda gave away
= 9 u
= 9 x 12
= 108
Answer(s): 108