Tammy and Anna used the same number of grapes to bake cakes. Tammy used
57 of her grapes and Anna used
35 of her grapes. They had a total of 322 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Tammy |
Anna |
Total |
Before |
7x3 =
21 u |
5x5 =
25 u |
46 u |
Change |
- 5x3 =
- 15 u |
- 3x5 =
- 15 u |
|
After |
2x3 =
6 u |
2x5 =
10 u |
16 u |
(a)
Tammy and Anna used the same number of grapes to bake cakes. Make the numerators the same. LCM of 5 and 3 is 15.
5x37x3 of Mary's grapes =
3x55x5 of Anna's grapes
1521 of Mary's grapes =
1525 of Anna's grapes
Total number of grapes at first
= 21 u + 25 u
= 46 u
46 u = 322
1 u = 322 ÷ 46 = 7
Number of grapes that each girl used
= 15 u
= 15 x 7
= 105
(b)
Total number of grapes that both girls had left
= 6 u + 10 u
= 16 u
= 16 x 7
= 112
Answer(s): (a) 105; (b) 112
