Abi and Lucy used the same number of grapes to bake cakes. Abi used
25 of her grapes and Lucy used
37 of her grapes. They had a total of 145 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Abi |
Lucy |
Total |
Before |
5x3 =
15 u |
7x2 =
14 u |
29 u |
Change |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
|
After |
3x3 =
9 u |
4x2 =
8 u |
17 u |
(a)
Abi and Lucy used the same number of grapes to bake cakes. Make the numerators the same. LCM of 2 and 3 is 6.
2x35x3 of Mary's grapes =
3x27x2 of Lucy's grapes
615 of Mary's grapes =
614 of Lucy's grapes
Total number of grapes at first
= 15 u + 14 u
= 29 u
29 u = 145
1 u = 145 ÷ 29 = 5
Number of grapes that each girl used
= 6 u
= 6 x 5
= 30
(b)
Total number of grapes that both girls had left
= 9 u + 8 u
= 17 u
= 17 x 5
= 85
Answer(s): (a) 30; (b) 85
