Zoe, Raeann and Vincent baked some cookies. Zoe and Raeann baked
57 of the cookies. Raeann and Vincent baked
35 of the cookies. Zoe and Vincent baked 504 cookies altogether.
- What fraction of the cookies did Zoe and Vincent bake altogether?
- How many cookies did the three girls bake in total?
| Zoe |
Raeann |
Vincent |
Total |
| 5x5 |
2x5 |
7x5 |
| 2x7 |
3x7 |
5x7 |
| 14 u |
11 u |
10 u |
35 u |
(a)
The total number of cookies remains unchanged. Make the total number of cookies the same. LCM of 7 and 5 is 35.
Number of cookies baked by Raeann
= 21 u - 10 u
= 11 u
Number of cookies baked by Zoe and Vincent
= 14 u + 10 u
= 24 u
Total number of cookies = 35 u
Fraction of the cookies baked by Zoe and Vincent =
2435(b)
Total number of cookies baked by Zoe and Vincent = 24 u
24 u = 504
1 u = 504 ÷ 24 = 21
Total number of cookies baked
= 35 u
= 35 x 21
= 735
Answer(s): (a)
2435; (b) 735
