Penelope, Dana and Will baked some puffs. Penelope and Dana baked
34 of the puffs. Dana and Will baked
35 of the puffs. Penelope and Will baked 416 puffs altogether.
- What fraction of the puffs did Penelope and Will bake altogether?
- How many puffs did the three girls bake in total?
| Penelope |
Dana |
Will |
Total |
| 3x5 |
1x5 |
4x5 |
| 2x4 |
3x4 |
5x4 |
| 8 u |
7 u |
5 u |
20 u |
(a)
The total number of puffs remains unchanged. Make the total number of puffs the same. LCM of 4 and 5 is 20.
Number of puffs baked by Dana
= 12 u - 5 u
= 7 u
Number of puffs baked by Penelope and Will
= 8 u + 5 u
= 13 u
Total number of tarts = 20 u
Fraction of the puffs baked by Penelope and Will =
1320(b)
Total number of puffs baked by Penelope and Will = 13 u
13 u = 416
1 u = 416 ÷ 13 = 32
Total number of puffs the three girls baked
= 20 u
= 20 x 32
= 640
Answer(s): (a)
1320; (b) 640
