Risa and Abi used the same number of lychees to bake cakes. Risa used
57 of her lychees and Abi used
35 of her lychees. They had a total of 138 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Risa |
Abi |
Total |
Before |
7x3 = 21 u |
5x5 = 25 u |
46 u |
Change |
- 5x3 = - 15 u |
- 3x5 = - 15 u |
|
After |
2x3 = 6 u |
2x5 = 10 u |
16 u |
(a)
Risa and Abi used the same number of lychees to bake cakes. Make the numerators the same. LCM of 5 and 3 is 15.
5x37x3 of Mary's lychees =
3x55x5 of Abi's lychees
1521 of Mary's lychees =
1525 of Abi's lychees
Total number of lychees at first
= 21 u + 25 u
= 46 u
46 u = 138
1 u = 138 ÷ 46 = 3
Number of lychees that each girl used
= 15 u
= 15 x 3
= 45
(b)
Total number of lychees that both girls had left
= 6 u + 10 u
= 16 u
= 16 x 3
= 48
Answer(s): (a) 45; (b) 48