Penelope and Sarah used the same number of raspberries to bake cakes. Penelope used
34 of her raspberries and Sarah used
57 of her raspberries. They had a total of 164 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
|
Penelope |
Sarah |
Total |
Before |
4x5 = 20 u |
7x3 = 21 u |
41 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
|
After |
1x5 = 5 u |
2x3 = 6 u |
11 u |
(a)
Penelope and Sarah used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x54x5 of Mary's raspberries =
5x37x3 of Sarah's raspberries
1520 of Mary's raspberries =
1521 of Sarah's raspberries
Total number of raspberries at first
= 20 u + 21 u
= 41 u
41 u = 164
1 u = 164 ÷ 41 = 4
Number of raspberries that each girl used
= 15 u
= 15 x 4
= 60
(b)
Total number of raspberries that both girls had left
= 5 u + 6 u
= 11 u
= 11 x 4
= 44
Answer(s): (a) 60; (b) 44