Roshel, Mary and Wesley baked some muffins. Roshel and Mary baked
57 of the muffins. Mary and Wesley baked
25 of the muffins. Roshel and Wesley baked 589 muffins altogether.
- What fraction of the muffins did Roshel and Wesley bake altogether?
- How many muffins did the three girls bake in total?
Roshel |
Mary |
Wesley |
Total |
5x5 |
2x5 |
7x5 |
3x7 |
2x7 |
5x7 |
21 u |
4 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 Mary
= 14 u - 10 u
= 4 u
Number of muffins baked by Roshel and Wesley
= 21 u + 10 u
= 31 u
Total number of muffins = 35 u
Fraction of the muffins baked by Roshel and Wesley =
3135(b)
Total number of muffins baked by Roshel and Wesley = 31 u
31 u = 589
1 u = 589 ÷ 31 = 19
Total number of muffins baked
= 35 u
= 35 x 19
= 665
Answer(s): (a)
3135; (b) 665