Olivia and Kimberly used the same number of grapes to bake cakes. Olivia used
57 of her grapes and Kimberly used
47 of her grapes. They had a total of 441 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Olivia |
Kimberly |
Total |
Before |
7x4 =
28 u |
7x5 =
35 u |
63 u |
Change |
- 5x4 =
- 20 u |
- 4x5 =
- 20 u |
|
After |
2x4 =
8 u |
3x5 =
15 u |
23 u |
(a)
Olivia and Kimberly used the same number of grapes to bake cakes. Make the numerators the same. LCM of 5 and 4 is 20.
5x47x4 of Mary's grapes =
4x57x5 of Kimberly's grapes
2028 of Mary's grapes =
2035 of Kimberly's grapes
Total number of grapes at first
= 28 u + 35 u
= 63 u
63 u = 441
1 u = 441 ÷ 63 = 7
Number of grapes that each girl used
= 20 u
= 20 x 7
= 140
(b)
Total number of grapes that both girls had left
= 8 u + 15 u
= 23 u
= 23 x 7
= 161
Answer(s): (a) 140; (b) 161
