Sabrina and Hilda used the same number of berries to bake cakes. Sabrina used
57 of her berries and Hilda used
37 of her berries. They had a total of 168 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Sabrina |
Hilda |
Total |
Before |
7x3 = 21 u |
7x5 = 35 u |
56 u |
Change |
- 5x3 = - 15 u |
- 3x5 = - 15 u |
|
After |
2x3 = 6 u |
4x5 = 20 u |
26 u |
(a)
Sabrina and Hilda used the same number of berries to bake cakes. Make the numerators the same. LCM of 5 and 3 is 15.
5x37x3 of Mary's berries =
3x57x5 of Hilda's berries
1521 of Mary's berries =
1535 of Hilda's berries
Total number of berries at first
= 21 u + 35 u
= 56 u
56 u = 168
1 u = 168 ÷ 56 = 3
Number of berries that each girl used
= 15 u
= 15 x 3
= 45
(b)
Total number of berries that both girls had left
= 6 u + 20 u
= 26 u
= 26 x 3
= 78
Answer(s): (a) 45; (b) 78