Emma, Vanessa and Seth baked some scones. Emma and Vanessa baked
23 of the scones. Vanessa and Seth baked
34 of the scones. Emma and Seth baked 434 scones altogether.
- What fraction of the scones did Emma and Seth bake altogether?
- How many scones did the three girls bake in total?
| Emma |
Vanessa |
Seth |
Total |
| 2x4 |
1x4 |
3x4 |
| 1x3 |
3x3 |
4x3 |
| 3 u |
5 u |
4 u |
12 u |
(a)
The total number of scones the same. Make the total number of scones unchanged. LCM of 3 and 4 is 12.
Number of scones baked by Vanessa
= 9 u - 4 u
= 5 u
Number of scones baked by Emma and Seth
= 3 u + 4 u
= 7 u
Total number of tarts = 12 u
Fraction of the scones baked by Emma and Seth =
712(b)
Total number of scones baked by Emma and Seth = 7 u
7 u = 434
1 u = 434 ÷ 7 = 62
Total number of scones baked
= 12 u
= 12 x 62
= 744
Answer(s): (a)
712; (b) 744
