Kylie and Diana used the same number of raspberries to bake cakes. Kylie used
35 of her raspberries and Diana used
47 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?
|
Kylie |
Diana |
Total |
Before |
5x4 = 20 u |
7x3 = 21 u |
41 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
|
After |
2x4 = 8 u |
3x3 = 9 u |
17 u |
(a)
Kylie and Diana used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 3 and 4 is 12.
3x45x4 of Mary's raspberries =
4x37x3 of Diana's raspberries
1220 of Mary's raspberries =
1221 of Diana's raspberries
Total number of raspberries at first
= 20 u + 21 u
= 41 u
41 u = 328
1 u = 328 ÷ 41 = 8
Number of raspberries that each girl used
= 12 u
= 12 x 8
= 96
(b)
Total number of raspberries that both girls had left
= 8 u + 9 u
= 17 u
= 17 x 8
= 136
Answer(s): (a) 96; (b) 136