Gillian and Emma used the same number of blueberries to bake cakes. Gillian used
58 of her blueberries and Emma used
25 of her blueberries. They had a total of 164 blueberries at first.
- How many blueberries did each girl use?
- How many blueberries did both girls have left altogether?
|
Gillian |
Emma |
Total |
Before |
8x2 = 16 u |
5x5 = 25 u |
41 u |
Change |
- 5x2 = - 10 u |
- 2x5 = - 10 u |
|
After |
3x2 = 6 u |
3x5 = 15 u |
21 u |
(a)
Gillian and Emma used the same number of blueberries to bake cakes. Make the numerators the same. LCM of 5 and 2 is 10.
5x28x2 of Mary's blueberries =
2x55x5 of Emma's blueberries
1016 of Mary's blueberries =
1025 of Emma's blueberries
Total number of blueberries at first
= 16 u + 25 u
= 41 u
41 u = 164
1 u = 164 ÷ 41 = 4
Number of blueberries that each girl used
= 10 u
= 10 x 4
= 40
(b)
Total number of blueberries that both girls had left
= 6 u + 15 u
= 21 u
= 21 x 4
= 84
Answer(s): (a) 40; (b) 84