Penelope, Nicole and Cole baked some scones. Penelope and Nicole baked
34 of the scones. Nicole and Cole baked
35 of the scones. Penelope and Cole baked 377 scones altogether.
- What fraction of the scones did Penelope and Cole bake altogether?
- How many scones did the three girls bake in total?
| Penelope |
Nicole |
Cole |
Total |
| 3x5 |
1x5 |
4x5 |
| 2x4 |
3x4 |
5x4 |
| 8 u |
7 u |
5 u |
20 u |
(a)
The total number of scones remains unchanged. Make the total number of scones the same. LCM of 4 and 5 is 20.
Number of scones baked by Nicole
= 12 u - 5 u
= 7 u
Number of scones baked by Penelope and Cole
= 8 u + 5 u
= 13 u
Total number of tarts = 20 u
Fraction of the scones baked by Penelope and Cole =
1320(b)
Total number of scones baked by Penelope and Cole = 13 u
13 u = 377
1 u = 377 ÷ 13 = 29
Total number of scones the three girls baked
= 20 u
= 20 x 29
= 580
Answer(s): (a)
1320; (b) 580
