Cindy and Linda used the same number of raspberries to bake cakes. Cindy used
27 of her raspberries and Linda used
58 of her raspberries. They had a total of 306 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
| |
Cindy |
Linda |
Total |
Before |
7x5 =
35 u |
8x2 =
16 u |
51 u |
Change |
- 2x5 =
- 10 u |
- 5x2 =
- 10 u |
|
After |
5x5 =
25 u |
3x2 =
6 u |
31 u |
(a)
Cindy and Linda used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 2 and 5 is 10.
2x57x5 of Mary's raspberries =
5x28x2 of Linda's raspberries
1035 of Mary's raspberries =
1016 of Linda's raspberries
Total number of raspberries at first
= 35 u + 16 u
= 51 u
51 u = 306
1 u = 306 ÷ 51 = 6
Number of raspberries that each girl used
= 10 u
= 10 x 6
= 60
(b)
Total number of raspberries that both girls had left
= 25 u + 6 u
= 31 u
= 31 x 6
= 186
Answer(s): (a) 60; (b) 186
