Xylia baked 240 puffs.
35 of the puffs were mocha puffs. The rest were mango puffs. She gave an equal number of mocha puffs and mango puffs away and had 5 times as many mocha puffs as mango puffs left. How many puffs did she give away?
|
Mocha puffs |
Mango puffs |
Difference |
Before |
3x4 = 12 u |
2x4 = 8 u |
1x4 = 4 u |
Change |
- 7 u |
- 7 u |
|
After |
5x1 = 5 u |
1x1 = 1 u |
4x1 = 4 u |
Since Xylia gave away an equal number of mocha puffs and mango puffs, the difference in the number of mocha puffs and mango puffs remains unchanged. Make the difference in the mocha puffs and mango puffs the same. LCM of 1 and 4 is 4.
Total number of puffs at first
= 12 u + 8 u
= 20 u
20 u = 240
1 u = 240 ÷ 20 = 12
Number of puffs that Xylia gave away
= 7 u + 7 u
= 14 u
= 14 x 12
= 168
Answer(s): 168