Zara made 55 more banana puffs than apple puffs. After she gave away
47 of the banana puffs and
13 of the apple puffs, there were an equal number of banana puffs and apple puffs left. How many banana puffs did she give away?
|
Banana puffs |
Apple puffs |
Difference |
Before |
7x2 = 14 u |
3x3 = 9 u |
5 u |
Change |
- 4x2 = - 8 u |
- 1x3 = - 3 u |
|
After |
3x2 = 6 u |
2x3 = 6 u |
|
Fraction of banana puffs left
= 1 -
47 =
37Fraction of apple puffs left
= 1 -
13 =
23The number of banana puffs and apple puffs in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
37 of banana puffs =
23 of apple puffs
614 of banana puffs =
69 of apple puffs
Number of more banana puffs than apple puffs at first
= 14 u - 9 u
= 5 u
5 u = 55
1 u = 55 ÷ 5 = 11
Number of banana puffs that Zara gave away
= 14 u - 6 u
= 8 u
= 8 x 11
= 88
Answer(s): 88