Xandra and Eva used the same number of grapes to bake cakes. Xandra used
38 of her grapes and Eva used
25 of her grapes. They had a total of 155 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Xandra |
Eva |
Total |
Before |
8x2 =
16 u |
5x3 =
15 u |
31 u |
Change |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
|
After |
5x2 =
10 u |
3x3 =
9 u |
19 u |
(a)
Xandra and Eva used the same number of grapes to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x28x2 of Mary's grapes =
2x35x3 of Eva's grapes
616 of Mary's grapes =
615 of Eva's grapes
Total number of grapes at first
= 16 u + 15 u
= 31 u
31 u = 155
1 u = 155 ÷ 31 = 5
Number of grapes that each girl used
= 6 u
= 6 x 5
= 30
(b)
Total number of grapes that both girls had left
= 10 u + 9 u
= 19 u
= 19 x 5
= 95
Answer(s): (a) 30; (b) 95
