Eva and Roshel used the same number of grapes to bake cakes. Eva used
47 of her grapes and Roshel used
34 of her grapes. They had a total of 111 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
|
Eva |
Roshel |
Total |
Before |
7x3 = 21 u |
4x4 = 16 u |
37 u |
Change |
- 4x3 = - 12 u |
- 3x4 = - 12 u |
|
After |
3x3 = 9 u |
1x4 = 4 u |
13 u |
(a)
Eva and Roshel used the same number of grapes to bake cakes. Make the numerators the same. LCM of 4 and 3 is 12.
4x37x3 of Mary's grapes =
3x44x4 of Roshel's grapes
1221 of Mary's grapes =
1216 of Roshel's grapes
Total number of grapes at first
= 21 u + 16 u
= 37 u
37 u = 111
1 u = 111 ÷ 37 = 3
Number of grapes that each girl used
= 12 u
= 12 x 3
= 36
(b)
Total number of grapes that both girls had left
= 9 u + 4 u
= 13 u
= 13 x 3
= 39
Answer(s): (a) 36; (b) 39