Gwen and Roshel used the same number of berries to bake cakes. Gwen used
58 of her berries and Roshel used
35 of her berries. They had a total of 196 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Gwen |
Roshel |
Total |
Before |
8x3 = 24 u |
5x5 = 25 u |
49 u |
Change |
- 5x3 = - 15 u |
- 3x5 = - 15 u |
|
After |
3x3 = 9 u |
2x5 = 10 u |
19 u |
(a)
Gwen and Roshel used the same number of berries to bake cakes. Make the numerators the same. LCM of 5 and 3 is 15.
5x38x3 of Mary's berries =
3x55x5 of Roshel's berries
1524 of Mary's berries =
1525 of Roshel's berries
Total number of berries at first
= 24 u + 25 u
= 49 u
49 u = 196
1 u = 196 ÷ 49 = 4
Number of berries that each girl used
= 15 u
= 15 x 4
= 60
(b)
Total number of berries that both girls had left
= 9 u + 10 u
= 19 u
= 19 x 4
= 76
Answer(s): (a) 60; (b) 76