Gwen and Gabby used the same number of berries to bake cakes. Gwen used
57 of her berries and Gabby used
45 of her berries. They had a total of 159 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Gwen |
Gabby |
Total |
Before |
7x4 = 28 u |
5x5 = 25 u |
53 u |
Change |
- 5x4 = - 20 u |
- 4x5 = - 20 u |
|
After |
2x4 = 8 u |
1x5 = 5 u |
13 u |
(a)
Gwen and Gabby used the same number of berries to bake cakes. Make the numerators the same. LCM of 5 and 4 is 20.
5x47x4 of Mary's berries =
4x55x5 of Gabby's berries
2028 of Mary's berries =
2025 of Gabby's berries
Total number of berries at first
= 28 u + 25 u
= 53 u
53 u = 159
1 u = 159 ÷ 53 = 3
Number of berries that each girl used
= 20 u
= 20 x 3
= 60
(b)
Total number of berries that both girls had left
= 8 u + 5 u
= 13 u
= 13 x 3
= 39
Answer(s): (a) 60; (b) 39