Gillian and Risa used the same number of grapes to bake cakes. Gillian used
34 of her grapes and Risa used
27 of her grapes. They had a total of 232 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Gillian |
Risa |
Total |
Before |
4x2 =
8 u |
7x3 =
21 u |
29 u |
Change |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
|
After |
1x2 =
2 u |
5x3 =
15 u |
17 u |
(a)
Gillian and Risa used the same number of grapes to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x24x2 of Mary's grapes =
2x37x3 of Risa's grapes
68 of Mary's grapes =
621 of Risa's grapes
Total number of grapes at first
= 8 u + 21 u
= 29 u
29 u = 232
1 u = 232 ÷ 29 = 8
Number of grapes that each girl used
= 6 u
= 6 x 8
= 48
(b)
Total number of grapes that both girls had left
= 2 u + 15 u
= 17 u
= 17 x 8
= 136
Answer(s): (a) 48; (b) 136
