Hazel, Usha and Paul baked some biscuits. Hazel and Usha baked
57 of the biscuits. Usha and Paul baked
25 of the biscuits. Hazel and Paul baked 558 biscuits altogether.
- What fraction of the biscuits did Hazel and Paul bake altogether?
- How many biscuits did the three girls bake in total?
Hazel |
Usha |
Paul |
Total |
5x5 |
2x5 |
7x5 |
3x7 |
2x7 |
5x7 |
21 u |
4 u |
10 u |
35 u |
(a)
The total number of biscuits remains unchanged. Make the total number of biscuits the same. LCM of 7 and 5 is 35.
Number of biscuits baked by Usha
= 14 u - 10 u
= 4 u
Number of biscuits baked by Hazel and Paul
= 21 u + 10 u
= 31 u
Total number of biscuits = 35 u
Fraction of the biscuits baked by Hazel and Paul =
3135(b)
Total number of biscuits baked by Hazel and Paul = 31 u
31 u = 558
1 u = 558 ÷ 31 = 18
Total number of biscuits baked
= 35 u
= 35 x 18
= 630
Answer(s): (a)
3135; (b) 630