Lucy and Xandra used the same number of strawberries to bake cakes. Lucy used
57 of her strawberries and Xandra used
34 of her strawberries. They had a total of 82 strawberries at first.
- How many strawberries did each girl use?
- How many strawberries did both girls have left altogether?
|
Lucy |
Xandra |
Total |
Before |
7x3 = 21 u |
4x5 = 20 u |
41 u |
Change |
- 5x3 = - 15 u |
- 3x5 = - 15 u |
|
After |
2x3 = 6 u |
1x5 = 5 u |
11 u |
(a)
Lucy and Xandra used the same number of strawberries to bake cakes. Make the numerators the same. LCM of 5 and 3 is 15.
5x37x3 of Mary's strawberries =
3x54x5 of Xandra's strawberries
1521 of Mary's strawberries =
1520 of Xandra's strawberries
Total number of strawberries at first
= 21 u + 20 u
= 41 u
41 u = 82
1 u = 82 ÷ 41 = 2
Number of strawberries that each girl used
= 15 u
= 15 x 2
= 30
(b)
Total number of strawberries that both girls had left
= 6 u + 5 u
= 11 u
= 11 x 2
= 22
Answer(s): (a) 30; (b) 22