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