Gwen and Lucy used the same number of raspberries to bake cakes. Gwen used
58 of her raspberries and Lucy used
45 of her raspberries. They had a total of 171 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
| |
Gwen |
Lucy |
Total |
Before |
8x4 =
32 u |
5x5 =
25 u |
57 u |
Change |
- 5x4 =
- 20 u |
- 4x5 =
- 20 u |
|
After |
3x4 =
12 u |
1x5 =
5 u |
17 u |
(a)
Gwen and Lucy used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 5 and 4 is 20.
5x48x4 of Mary's raspberries =
4x55x5 of Lucy's raspberries
2032 of Mary's raspberries =
2025 of Lucy's raspberries
Total number of raspberries at first
= 32 u + 25 u
= 57 u
57 u = 171
1 u = 171 ÷ 57 = 3
Number of raspberries that each girl used
= 20 u
= 20 x 3
= 60
(b)
Total number of raspberries that both girls had left
= 12 u + 5 u
= 17 u
= 17 x 3
= 51
Answer(s): (a) 60; (b) 51
