Natalie and Fanny used the same number of grapes to bake cakes. Natalie used
37 of her grapes and Fanny used
45 of her grapes. They had a total of 129 grapes at first.
- How many grapes did each girl use?
- How many grapes did both girls have left altogether?
| |
Natalie |
Fanny |
Total |
Before |
7x4 =
28 u |
5x3 =
15 u |
43 u |
Change |
- 3x4 =
- 12 u |
- 4x3 =
- 12 u |
|
After |
4x4 =
16 u |
1x3 =
3 u |
19 u |
(a)
Natalie and Fanny used the same number of grapes to bake cakes. Make the numerators the same. LCM of 3 and 4 is 12.
3x47x4 of Mary's grapes =
4x35x3 of Fanny's grapes
1228 of Mary's grapes =
1215 of Fanny's grapes
Total number of grapes at first
= 28 u + 15 u
= 43 u
43 u = 129
1 u = 129 ÷ 43 = 3
Number of grapes that each girl used
= 12 u
= 12 x 3
= 36
(b)
Total number of grapes that both girls had left
= 16 u + 3 u
= 19 u
= 19 x 3
= 57
Answer(s): (a) 36; (b) 57
