Cindy and Yen used the same number of grapes to bake cakes. Cindy used
27 of her grapes and Yen used
37 of her grapes. They had a total of 210 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Cindy |
Yen |
Total |
Before |
7x3 =
21 u |
7x2 =
14 u |
35 u |
Change |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
|
After |
5x3 =
15 u |
4x2 =
8 u |
23 u |
(a)
Cindy and Yen used the same number of grapes to bake cakes. Make the numerators the same. LCM of 2 and 3 is 6.
2x37x3 of Mary's grapes =
3x27x2 of Yen's grapes
621 of Mary's grapes =
614 of Yen's grapes
Total number of grapes at first
= 21 u + 14 u
= 35 u
35 u = 210
1 u = 210 ÷ 35 = 6
Number of grapes that each girl used
= 6 u
= 6 x 6
= 36
(b)
Total number of grapes that both girls had left
= 15 u + 8 u
= 23 u
= 23 x 6
= 138
Answer(s): (a) 36; (b) 138
