Rachel baked a total of 281 puffs and shortbreads. After giving away 90% of the shortbreads and 75% of the puffs, she was left with thrice as many shortbreads as puffs. Find the number of puffs Rachel gave away.
|
Shortbreads |
Puffs |
Before |
10x3 = 30 u
|
4 u |
Change |
- 9x3 = 27 u |
- 3 u |
After |
1x3 = 3 u |
1 u |
Comparing shortbreads and puffs 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 = 281
1 u = 281 ÷ 34 = 6
Number of puffs that Rachel gave away
= 3 u
= 3 x 6
= 18
Answer(s): 18