Olivia baked 165 puffs.
35 of the puffs were mocha puffs. The rest were peach puffs. She gave an equal number of mocha puffs and peach puffs away and had 4 times as many mocha puffs as peach puffs left. How many puffs did she give away?
| |
Mocha puffs |
Peach puffs |
Difference |
| Before |
3x3 =
9 u |
2x3 =
6 u |
1x3 =
3 u |
| Change |
- 5 u |
- 5 u |
|
| After |
4x1 =
4 u |
1x1 =
1 u |
3x1 =
3 u |
Since Olivia gave away an equal number of mocha puffs and peach puffs, the difference in the number of mocha puffs and peach puffs remains unchanged. Make the difference in the mocha puffs and peach puffs the same. LCM of 1 and 3 is 3.
Total number of puffs at first
= 9 u + 6 u
= 15 u
15 u = 165
1 u = 165 ÷ 15 = 11
Number of puffs that Olivia gave away
= 5 u + 5 u
= 10 u
= 10 x 11
= 110
Answer(s): 110
