Elyse and Mary used the same number of raspberries to bake cakes. Elyse used
47 of her raspberries and Mary used
34 of her raspberries. They had a total of 333 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
| |
Elyse |
Mary |
Total |
Before |
7x3 =
21 u |
4x4 =
16 u |
37 u |
Change |
- 4x3 =
- 12 u |
- 3x4 =
- 12 u |
|
After |
3x3 =
9 u |
1x4 =
4 u |
13 u |
(a)
Elyse and Mary used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 4 and 3 is 12.
4x37x3 of Mary's raspberries =
3x44x4 of Mary's raspberries
1221 of Mary's raspberries =
1216 of Mary's raspberries
Total number of raspberries at first
= 21 u + 16 u
= 37 u
37 u = 333
1 u = 333 ÷ 37 = 9
Number of raspberries that each girl used
= 12 u
= 12 x 9
= 108
(b)
Total number of raspberries that both girls had left
= 9 u + 4 u
= 13 u
= 13 x 9
= 117
Answer(s): (a) 108; (b) 117
