Tammy and Jen used the same number of grapes to bake cakes. Tammy used
38 of her grapes and Jen used
47 of her grapes. They had a total of 106 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Tammy |
Jen |
Total |
Before |
8x4 =
32 u |
7x3 =
21 u |
53 u |
Change |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
|
After |
5x4 =
20 u |
3x3 =
9 u |
29 u |
(a)
Tammy and Jen used the same number of grapes to bake cakes. Make the numerators the same. LCM of 3 and 4 is 12.
3x48x4 of Mary's grapes =
4x37x3 of Jen's grapes
1232 of Mary's grapes =
1221 of Jen's grapes
Total number of grapes at first
= 32 u + 21 u
= 53 u
53 u = 106
1 u = 106 ÷ 53 = 2
Number of grapes that each girl used
= 12 u
= 12 x 2
= 24
(b)
Total number of grapes that both girls had left
= 20 u + 9 u
= 29 u
= 29 x 2
= 58
Answer(s): (a) 24; (b) 58
