Abi and Xylia used the same number of lychees to bake cakes. Abi used
57 of her lychees and Xylia used
45 of her lychees. They had a total of 477 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
| |
Abi |
Xylia |
Total |
Before |
7x4 =
28 u |
5x5 =
25 u |
53 u |
Change |
- 5x4 =
- 20 u |
- 4x5 =
- 20 u |
|
After |
2x4 =
8 u |
1x5 =
5 u |
13 u |
(a)
Abi and Xylia used the same number of lychees to bake cakes. Make the numerators the same. LCM of 5 and 4 is 20.
5x47x4 of Mary's lychees =
4x55x5 of Xylia's lychees
2028 of Mary's lychees =
2025 of Xylia's lychees
Total number of lychees at first
= 28 u + 25 u
= 53 u
53 u = 477
1 u = 477 ÷ 53 = 9
Number of lychees that each girl used
= 20 u
= 20 x 9
= 180
(b)
Total number of lychees that both girls had left
= 8 u + 5 u
= 13 u
= 13 x 9
= 117
Answer(s): (a) 180; (b) 117
