Penelope and Opal used the same number of berries to bake cakes. Penelope used
58 of her berries and Opal used
27 of her berries. They had a total of 102 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Penelope |
Opal |
Total |
Before |
8x2 = 16 u |
7x5 = 35 u |
51 u |
Change |
- 5x2 = - 10 u |
- 2x5 = - 10 u |
|
After |
3x2 = 6 u |
5x5 = 25 u |
31 u |
(a)
Penelope and Opal used the same number of berries to bake cakes. Make the numerators the same. LCM of 5 and 2 is 10.
5x28x2 of Mary's berries =
2x57x5 of Opal's berries
1016 of Mary's berries =
1035 of Opal's berries
Total number of berries at first
= 16 u + 35 u
= 51 u
51 u = 102
1 u = 102 ÷ 51 = 2
Number of berries that each girl used
= 10 u
= 10 x 2
= 20
(b)
Total number of berries that both girls had left
= 6 u + 25 u
= 31 u
= 31 x 2
= 62
Answer(s): (a) 20; (b) 62