Olivia, Lucy and Harry baked some macarons. Olivia and Lucy baked
23 of the macarons. Lucy and Harry baked
35 of the macarons. Olivia and Harry baked 473 macarons altogether.
- What fraction of the macarons did Olivia and Harry bake altogether?
- How many macarons did the three girls bake in total?
| Olivia |
Lucy |
Harry |
Total |
| 2x5 |
1x5 |
3x5 |
| 2x3 |
3x3 |
5x3 |
| 6 u |
4 u |
5 u |
15 u |
(a)
The total number of macarons the same. Make the total number of macarons unchanged. LCM of 3 and 5 is 15.
Number of macarons baked by Lucy
= 9 u - 5 u
= 4 u
Number of macarons baked by Olivia and Harry
= 6 u + 5 u
= 11 u
Total number of tarts = 15 u
Fraction of the macarons baked by Olivia and Harry =
1115(b)
Total number of macarons baked by Olivia and Harry = 11 u
11 u = 473
1 u = 473 ÷ 11 = 43
Total number of macarons baked
= 15 u
= 15 x 43
= 645
Answer(s): (a)
1115; (b) 645
