Fanny and Kylie used the same number of lychees to bake cakes. Fanny used
45 of her lychees and Kylie used
57 of her lychees. They had a total of 212 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Fanny |
Kylie |
Total |
Before |
5x5 = 25 u |
7x4 = 28 u |
53 u |
Change |
- 4x5 = - 20 u |
- 5x4 = - 20 u |
|
After |
1x5 = 5 u |
2x4 = 8 u |
13 u |
(a)
Fanny and Kylie used the same number of lychees to bake cakes. Make the numerators the same. LCM of 4 and 5 is 20.
4x55x5 of Mary's lychees =
5x47x4 of Kylie's lychees
2025 of Mary's lychees =
2028 of Kylie's lychees
Total number of lychees at first
= 25 u + 28 u
= 53 u
53 u = 212
1 u = 212 ÷ 53 = 4
Number of lychees that each girl used
= 20 u
= 20 x 4
= 80
(b)
Total number of lychees that both girls had left
= 5 u + 8 u
= 13 u
= 13 x 4
= 52
Answer(s): (a) 80; (b) 52