Natalie, Ivory and Bryan baked some macarons. Natalie and Ivory baked
57 of the macarons. Ivory and Bryan baked
35 of the macarons. Natalie and Bryan baked 576 macarons altogether.
- What fraction of the macarons did Natalie and Bryan bake altogether?
- How many macarons did the three girls bake in total?
Natalie |
Ivory |
Bryan |
Total |
5x5 |
2x5 |
7x5 |
2x7 |
3x7 |
5x7 |
14 u |
11 u |
10 u |
35 u |
(a)
The total number of macarons remains unchanged. Make the total number of macarons the same. LCM of 7 and 5 is 35.
Number of macarons baked by Ivory
= 21 u - 10 u
= 11 u
Number of macarons baked by Natalie and Bryan
= 14 u + 10 u
= 24 u
Total number of macarons = 35 u
Fraction of the macarons baked by Natalie and Bryan =
2435(b)
Total number of macarons baked by Natalie and Bryan = 24 u
24 u = 576
1 u = 576 ÷ 24 = 24
Total number of macarons baked
= 35 u
= 35 x 24
= 840
Answer(s): (a)
2435; (b) 840