Xandra made 63 more apple puffs than cream puffs. After she gave away
37 of the apple puffs and
17 of the cream puffs, there were an equal number of apple puffs and cream puffs left. How many apple puffs did she give away?
| |
Apple puffs |
Cream puffs |
Difference |
| Before |
7x3 =
21 u |
7x2 =
14 u |
7 u |
| Change |
- 3x3 =
- 9 u |
- 1x2 =
- 2 u |
|
| After |
4x3 =
12 u |
6x2 =
12 u |
|
Fraction of apple puffs left
= 1 -
37 =
47Fraction of cream puffs left
= 1 -
17 =
67The number of apple puffs and cream puffs in the end is the same. Make the numerators the same. LCM of 6 and 4 is 12.
47 of apple puffs =
67 of cream puffs
1221 of apple puffs =
1214 of cream puffs
Number of more apple puffs than cream puffs at first
= 21 u - 14 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Number of apple puffs that Xandra gave away
= 21 u - 12 u
= 9 u
= 9 x 9
= 81
Answer(s): 81
