Emily has 2 times as many macarons as Julie. The total number of Emily's and Julie's macarons is 8 times of Esther's. Emily and Julie have 42 macarons more than Esther's. How many less macarons does Esther have than Emily?
| Emily |
Julie |
Esther |
| 2x8 |
1x8 |
|
| 8x3 |
1x3 |
| 16 u |
8 u |
3 u |
The total number of macarons that Emily and Julie have is repeated. Make the total number of macarons that Emily and Julie have the same. LCM of 3 and 8 is 24.
Total number of macarons that Emily and Julie have
= 16 u + 8 u
= 24 u
Number of more macarons that Emily and Julie have than Esther
= 24 u - 3 u
= 21 u
21 u = 42
1 u = 42 ÷ 21 = 2
Number of less macarons that Esther has than Emily
= 16 u - 3 u
= 13 u
= 13 x 2
= 26
Answer(s): 26
