Jen and Pamela used the same number of berries to bake cakes. Jen used
34 of her berries and Pamela used
25 of her berries. They had a total of 46 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Jen |
Pamela |
Total |
Before |
4x2 = 8 u |
5x3 = 15 u |
23 u |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
|
After |
1x2 = 2 u |
3x3 = 9 u |
11 u |
(a)
Jen and Pamela used the same number of berries to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x24x2 of Mary's berries =
2x35x3 of Pamela's berries
68 of Mary's berries =
615 of Pamela's berries
Total number of berries at first
= 8 u + 15 u
= 23 u
23 u = 46
1 u = 46 ÷ 23 = 2
Number of berries that each girl used
= 6 u
= 6 x 2
= 12
(b)
Total number of berries that both girls had left
= 2 u + 9 u
= 11 u
= 11 x 2
= 22
Answer(s): (a) 12; (b) 22