Elyse had 107 cherry and vanilla macarons. After giving away
13 of her cherry macarons and 12 of her vanilla macarons, she had an equal number of cherry and vanilla macarons. How many vanilla macarons did she have at first?
| |
Cherry macarons |
Vanilla macarons |
Total |
| Before |
3 u |
2 u + 12 |
107 |
| Change |
- 1 u |
- 12 |
|
| After |
2 u |
2 u |
|
Fraction of the cherry macarons left
= 1 -
13=
23 The number of cherry and vanilla macarons in the end is the same.
Total number of macarons at first
= 3 u + 2 u + 12
= 5 u + 12
5 u + 12 = 107
5 u = 107 - 12
5 u = 95
1 u = 95 ÷ 5 = 19
Number of vanilla macarons at first
= 2 u + 12
= 2 x 19 + 12
= 38 + 12
= 50
Answer(s): 50
