Fanny and Mary used the same number of raspberries to bake cakes. Fanny used
25 of her raspberries and Mary used
58 of her raspberries. They had a total of 369 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
| |
Fanny |
Mary |
Total |
Before |
5x5 =
25 u |
8x2 =
16 u |
41 u |
Change |
- 2x5 =
- 10 u |
- 5x2 =
- 10 u |
|
After |
3x5 =
15 u |
3x2 =
6 u |
21 u |
(a)
Fanny and Mary used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 2 and 5 is 10.
2x55x5 of Mary's raspberries =
5x28x2 of Mary's raspberries
1025 of Mary's raspberries =
1016 of Mary's raspberries
Total number of raspberries at first
= 25 u + 16 u
= 41 u
41 u = 369
1 u = 369 ÷ 41 = 9
Number of raspberries that each girl used
= 10 u
= 10 x 9
= 90
(b)
Total number of raspberries that both girls had left
= 15 u + 6 u
= 21 u
= 21 x 9
= 189
Answer(s): (a) 90; (b) 189
