Gillian and Jane used the same number of berries to bake cakes. Gillian used
25 of her berries and Jane used
38 of her berries. They had a total of 93 berries at first.
- How many berries did each girl use?
- How many berries did both girls have left altogether?
|
Gillian |
Jane |
Total |
Before |
5x3 = 15 u |
8x2 = 16 u |
31 u |
Change |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
|
After |
3x3 = 9 u |
5x2 = 10 u |
19 u |
(a)
Gillian and Jane used the same number of berries to bake cakes. Make the numerators the same. LCM of 2 and 3 is 6.
2x35x3 of Mary's berries =
3x28x2 of Jane's berries
615 of Mary's berries =
616 of Jane's berries
Total number of berries at first
= 15 u + 16 u
= 31 u
31 u = 93
1 u = 93 ÷ 31 = 3
Number of berries that each girl used
= 6 u
= 6 x 3
= 18
(b)
Total number of berries that both girls had left
= 9 u + 10 u
= 19 u
= 19 x 3
= 57
Answer(s): (a) 18; (b) 57