Abi, Erika and Billy baked some scones. Abi and Erika baked
34 of the scones. Erika and Billy baked
37 of the scones. Abi and Billy baked 437 scones altogether.
- What fraction of the scones did Abi and Billy bake altogether?
- How many scones did the three girls bake in total?
| Abi |
Erika |
Billy |
Total |
| 3x7 |
1x7 |
4x7 |
| 4x4 |
3x4 |
7x4 |
| 16 u |
5 u |
7 u |
28 u |
(a)
The total number of scones remains unchanged. Make the total number of scones the same. LCM of 4 and 7 is 28.
Number of scones baked by Erika
= 12 u - 7 u
= 5 u
Number of scones baked by Abi and Billy
= 16 u + 7 u
= 23 u
Total number of tarts = 28 u
Fraction of the scones baked by Abi and Billy =
2328(b)
Total number of scones baked by Abi and Billy = 23 u
23 u = 437
1 u = 437 ÷ 23 = 19
Total number of scones the three girls baked
= 28 u
= 28 x 19
= 532
Answer(s): (a)
2328; (b) 532
