Usha and Xylia used the same number of raspberries to bake cakes. Usha used
25 of her raspberries and Xylia used
45 of her raspberries. They had a total of 60 raspberries at first.
- How many raspberries did each girl use?
- How many raspberries did both girls have left altogether?
|
Usha |
Xylia |
Total |
Before |
5x2 = 10 u |
5x1 = 5 u |
15 u |
Change |
- 2x2 = - 4 u |
- 4x1 = - 4 u |
|
After |
3x2 = 6 u |
1x1 = 1 u |
7 u |
(a)
Usha and Xylia used the same number of raspberries to bake cakes. Make the numerators the same. LCM of 2 and 4 is 4.
2x25x2 of Mary's raspberries =
4x15x1 of Xylia's raspberries
410 of Mary's raspberries =
45 of Xylia's raspberries
Total number of raspberries at first
= 10 u + 5 u
= 15 u
15 u = 60
1 u = 60 ÷ 15 = 4
Number of raspberries that each girl used
= 4 u
= 4 x 4
= 16
(b)
Total number of raspberries that both girls had left
= 6 u + 1 u
= 7 u
= 7 x 4
= 28
Answer(s): (a) 16; (b) 28