Xuan and Emily used the same number of lychees to bake cakes. Xuan used
37 of her lychees and Emily used
57 of her lychees. They had a total of 168 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
| |
Xuan |
Emily |
Total |
Before |
7x5 =
35 u |
7x3 =
21 u |
56 u |
Change |
- 3x5 =
- 15 u |
- 5x3 =
- 15 u |
|
After |
4x5 =
20 u |
2x3 =
6 u |
26 u |
(a)
Xuan and Emily used the same number of lychees to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x57x5 of Mary's lychees =
5x37x3 of Emily's lychees
1535 of Mary's lychees =
1521 of Emily's lychees
Total number of lychees at first
= 35 u + 21 u
= 56 u
56 u = 168
1 u = 168 ÷ 56 = 3
Number of lychees that each girl used
= 15 u
= 15 x 3
= 45
(b)
Total number of lychees that both girls had left
= 20 u + 6 u
= 26 u
= 26 x 3
= 78
Answer(s): (a) 45; (b) 78
