Yen and Xandra used the same number of lychees to bake cakes. Yen used
27 of her lychees and Xandra used
57 of her lychees. They had a total of 490 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
| |
Yen |
Xandra |
Total |
Before |
7x5 =
35 u |
7x2 =
14 u |
49 u |
Change |
- 2x5 =
- 10 u |
- 5x2 =
- 10 u |
|
After |
5x5 =
25 u |
2x2 =
4 u |
29 u |
(a)
Yen and Xandra used the same number of lychees to bake cakes. Make the numerators the same. LCM of 2 and 5 is 10.
2x57x5 of Mary's lychees =
5x27x2 of Xandra's lychees
1035 of Mary's lychees =
1014 of Xandra's lychees
Total number of lychees at first
= 35 u + 14 u
= 49 u
49 u = 490
1 u = 490 ÷ 49 = 10
Number of lychees that each girl used
= 10 u
= 10 x 10
= 100
(b)
Total number of lychees that both girls had left
= 25 u + 4 u
= 29 u
= 29 x 10
= 290
Answer(s): (a) 100; (b) 290
