Ivory has 3 times as many macarons as Elyse. The total number of Ivory's and Elyse's macarons is 3 times of Abi's. Ivory and Elyse have 80 macarons more than Abi's. How many more macarons does Ivory have than Elyse?
| Ivory |
Elyse |
Abi |
| 3x3 |
1x3 |
|
| 3x4 |
1x4 |
| 9 u |
3 u |
4 u |
The total number of macarons that Ivory and Elyse have is repeated. Make the total number of macarons that Ivory and Elyse have the same. LCM of 4 and 3 is 12.
Total number of macarons that Ivory and Elyse have
= 9 u + 3 u
= 12 u
Number of more macarons that Ivory and Elyse have than Abi
= 12 u - 4 u
= 8 u
8 u = 80
1 u = 80 ÷ 8 = 10
Number of more macarons that Ivory has than Elyse
= 9 u - 3 u
= 6 u
= 6 x 10
= 60
Answer(s): 60
