Hazel, Xuan and Seth baked some cupcakes. Hazel and Xuan baked
57 of the cupcakes. Xuan and Seth baked
35 of the cupcakes. Hazel and Seth baked 600 cupcakes altogether.
- What fraction of the cupcakes did Hazel and Seth bake altogether?
- How many cupcakes did the three girls bake in total?
| Hazel |
Xuan |
Seth |
Total |
| 5x5 |
2x5 |
7x5 |
| 2x7 |
3x7 |
5x7 |
| 14 u |
11 u |
10 u |
35 u |
(a)
The total number of cupcakes remains unchanged. Make the total number of cupcakes the same. LCM of 7 and 5 is 35.
Number of cupcakes baked by Xuan
= 21 u - 10 u
= 11 u
Number of cupcakes baked by Hazel and Seth
= 14 u + 10 u
= 24 u
Total number of cupcakes = 35 u
Fraction of the cupcakes baked by Hazel and Seth =
2435(b)
Total number of cupcakes baked by Hazel and Seth = 24 u
24 u = 600
1 u = 600 ÷ 24 = 25
Total number of cupcakes baked
= 35 u
= 35 x 25
= 875
Answer(s): (a)
2435; (b) 875
