Winnie and Tammy used the same number of lychees to bake cakes. Winnie used
25 of her lychees and Tammy used
57 of her lychees. They had a total of 312 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Winnie |
Tammy |
Total |
Before |
5x5 = 25 u |
7x2 = 14 u |
39 u |
Change |
- 2x5 = - 10 u |
- 5x2 = - 10 u |
|
After |
3x5 = 15 u |
2x2 = 4 u |
19 u |
(a)
Winnie and Tammy used the same number of lychees to bake cakes. Make the numerators the same. LCM of 2 and 5 is 10.
2x55x5 of Mary's lychees =
5x27x2 of Tammy's lychees
1025 of Mary's lychees =
1014 of Tammy's lychees
Total number of lychees at first
= 25 u + 14 u
= 39 u
39 u = 312
1 u = 312 ÷ 39 = 8
Number of lychees that each girl used
= 10 u
= 10 x 8
= 80
(b)
Total number of lychees that both girls had left
= 15 u + 4 u
= 19 u
= 19 x 8
= 152
Answer(s): (a) 80; (b) 152