Olivia baked a total of 406 puffs and scones. After giving away 80% of the scones and 90% of the puffs, she was left with five times as many scones as puffs. Find the number of puffs Olivia gave away.
|
Scones |
Puffs |
Before |
5x5 = 25 u
|
10 u |
Change |
- 4x5 = 20 u |
- 9 u |
After |
1x5 = 5 u |
1 u |
Comparing scones and puffs in the end |
5x1 = 5 u |
1x1 = 1 u |
80% =
80100 =
4590% =
90100 =
910The number of scones in the end is the repeated identity. Make the number of scones in the end the same. LCM of 1 and 5 is 5.
Total number of pastries at first
= 25 u + 10 u
= 35 u
35 u = 406
1 u = 406 ÷ 35 = 5
Number of puffs that Olivia gave away
= 9 u
= 9 x 5
= 45
Answer(s): 45