Gwen and Lynn used the same number of raspberries to bake cakes. Gwen used
47 of her raspberries and Lynn used
58 of her raspberries. They had a total of 469 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
|
Gwen |
Lynn |
Total |
Before |
7x5 = 35 u |
8x4 = 32 u |
67 u |
Change |
- 4x5 = - 20 u |
- 5x4 = - 20 u |
|
After |
3x5 = 15 u |
3x4 = 12 u |
27 u |
(a)
Gwen and Lynn used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 4 and 5 is 20.
4x57x5 of Mary's raspberries =
5x48x4 of Lynn's raspberries
2035 of Mary's raspberries =
2032 of Lynn's raspberries
Total number of raspberries at first
= 35 u + 32 u
= 67 u
67 u = 469
1 u = 469 ÷ 67 = 7
Number of raspberries that each girl used
= 20 u
= 20 x 7
= 140
(b)
Total number of raspberries that both girls had left
= 15 u + 12 u
= 27 u
= 27 x 7
= 189
Answer(s): (a) 140; (b) 189