Sarah made 50 more mocca puffs than banana puffs. After she gave away
47 of the mocca puffs and
13 of the banana puffs, there were an equal number of mocca puffs and banana puffs left. How many mocca puffs did she give away?
| |
Mocca puffs |
Banana 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 mocca puffs left
= 1 -
47 =
37Fraction of banana puffs left
= 1 -
13 =
23The number of mocca puffs and banana puffs in the end is the same. Make the numerators the same. LCM of 2 and 3 is 6.
37 of mocca puffs =
23 of banana puffs
614 of mocca puffs =
69 of banana puffs
Number of more mocca puffs than banana puffs at first
= 14 u - 9 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Number of mocca puffs that Sarah gave away
= 14 u - 6 u
= 8 u
= 8 x 10
= 80
Answer(s): 80
