Wendy and Xandra used the same number of blueberries to bake cakes. Wendy used
35 of her blueberries and Xandra used
27 of her blueberries. They had a total of 217 blueberries at first.
- How many blueberries did each girl use?
- How many blueberries did both girls have left altogether?
|
Wendy |
Xandra |
Total |
Before |
5x2 = 10 u |
7x3 = 21 u |
31 u |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
|
After |
2x2 = 4 u |
5x3 = 15 u |
19 u |
(a)
Wendy and Xandra used the same number of blueberries to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x25x2 of Mary's blueberries =
2x37x3 of Xandra's blueberries
610 of Mary's blueberries =
621 of Xandra's blueberries
Total number of blueberries at first
= 10 u + 21 u
= 31 u
31 u = 217
1 u = 217 ÷ 31 = 7
Number of blueberries that each girl used
= 6 u
= 6 x 7
= 42
(b)
Total number of blueberries that both girls had left
= 4 u + 15 u
= 19 u
= 19 x 7
= 133
Answer(s): (a) 42; (b) 133