Emily has 3 times as many macarons as Zara. The total number of Emily's and Zara's macarons is 5 times of Jean's. Emily and Zara have 32 macarons more than Jean's. How many more macarons does Emily have than Zara?
| Emily |
Zara |
Jean |
| 3x5 |
1x5 |
|
| 5x4 |
1x4 |
| 15 u |
5 u |
4 u |
The total number of macarons that Emily and Zara have is repeated. Make the total number of macarons that Emily and Zara have the same. LCM of 4 and 5 is 20.
Total number of macarons that Emily and Zara have
= 15 u + 5 u
= 20 u
Number of more macarons that Emily and Zara have than Jean
= 20 u - 4 u
= 16 u
16 u = 32
1 u = 32 ÷ 16 = 2
Number of more macarons that Emily has than Zara
= 15 u - 5 u
= 10 u
= 10 x 2
= 20
Answer(s): 20
