Esther and Hilda used the same number of raspberries to bake cakes. Esther used
35 of her raspberries and Hilda used
57 of her raspberries. They had a total of 230 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
|
Esther |
Hilda |
Total |
Before |
5x5 = 25 u |
7x3 = 21 u |
46 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
|
After |
2x5 = 10 u |
2x3 = 6 u |
16 u |
(a)
Esther and Hilda used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x55x5 of Mary's raspberries =
5x37x3 of Hilda's raspberries
1525 of Mary's raspberries =
1521 of Hilda's raspberries
Total number of raspberries at first
= 25 u + 21 u
= 46 u
46 u = 230
1 u = 230 ÷ 46 = 5
Number of raspberries that each girl used
= 15 u
= 15 x 5
= 75
(b)
Total number of raspberries that both girls had left
= 10 u + 6 u
= 16 u
= 16 x 5
= 80
Answer(s): (a) 75; (b) 80