Marion and Fanny used the same number of raspberries to bake cakes. Marion used
58 of her raspberries and Fanny used
25 of her raspberries. They had a total of 328 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
|
Marion |
Fanny |
Total |
Before |
8x2 = 16 u |
5x5 = 25 u |
41 u |
Change |
- 5x2 = - 10 u |
- 2x5 = - 10 u |
|
After |
3x2 = 6 u |
3x5 = 15 u |
21 u |
(a)
Marion and Fanny used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 5 and 2 is 10.
5x28x2 of Mary's raspberries =
2x55x5 of Fanny's raspberries
1016 of Mary's raspberries =
1025 of Fanny's raspberries
Total number of raspberries at first
= 16 u + 25 u
= 41 u
41 u = 328
1 u = 328 ÷ 41 = 8
Number of raspberries that each girl used
= 10 u
= 10 x 8
= 80
(b)
Total number of raspberries that both girls had left
= 6 u + 15 u
= 21 u
= 21 x 8
= 168
Answer(s): (a) 80; (b) 168