Pamela and Sabrina used the same number of raspberries to bake cakes. Pamela used
45 of her raspberries and Sabrina used
34 of her raspberries. They had a total of 62 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
| |
Pamela |
Sabrina |
Total |
Before |
5x3 =
15 u |
4x4 =
16 u |
31 u |
Change |
- 4x3 =
- 12 u |
- 3x4 =
- 12 u |
|
After |
1x3 =
3 u |
1x4 =
4 u |
7 u |
(a)
Pamela and Sabrina used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 4 and 3 is 12.
4x35x3 of Mary's raspberries =
3x44x4 of Sabrina's raspberries
1215 of Mary's raspberries =
1216 of Sabrina's raspberries
Total number of raspberries at first
= 15 u + 16 u
= 31 u
31 u = 62
1 u = 62 ÷ 31 = 2
Number of raspberries that each girl used
= 12 u
= 12 x 2
= 24
(b)
Total number of raspberries that both girls had left
= 3 u + 4 u
= 7 u
= 7 x 2
= 14
Answer(s): (a) 24; (b) 14
