Paul and Wesley had 85 macarons altogether. After Paul ate
14 of his macarons and Wesley ate 9 macarons, the number of macarons Wesley had left was five times the number of macarons Paul had left. How many more macarons did Wesley have than Paul at first?
|
Paul |
Wesley |
Total |
Before |
4 u |
15 u + 9 |
85 |
Change |
- 1 u |
- 9 |
|
After |
3 u |
|
|
Comparing Paul and Wesley in the end |
1x3 = 3 u |
5x3 = 15 u |
|
The number of macarons that Paul had in the end is the same. Make the number of macarons that Paul had in the end the same. LCM of 3 and 1 is 3.
Total number of macarons at first
= 4 u + 15 u + 9
= 19 u + 9
19 u + 9 = 85
19 u = 85 - 9
19 u = 76
1 u = 76 ÷ 19 = 4
Number of macarons that Paul had at first
= 4 u
= 4 x 4
= 16
Number of macarons that Wesley had at first
= 85 - 16
= 69
Number of macarons that Wesley had more than Paul at first
= 69 - 16
= 53
Answer(s): 53