Tammy and Jen used the same number of lychees to bake cakes. Tammy used
47 of her lychees and Jen used
57 of her lychees. They had a total of 567 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Tammy |
Jen |
Total |
Before |
7x5 = 35 u |
7x4 = 28 u |
63 u |
Change |
- 4x5 = - 20 u |
- 5x4 = - 20 u |
|
After |
3x5 = 15 u |
2x4 = 8 u |
23 u |
(a)
Tammy and Jen used the same number of lychees to bake cakes. Make the numerators the same. LCM of 4 and 5 is 20.
4x57x5 of Mary's lychees =
5x47x4 of Jen's lychees
2035 of Mary's lychees =
2028 of Jen's lychees
Total number of lychees at first
= 35 u + 28 u
= 63 u
63 u = 567
1 u = 567 ÷ 63 = 9
Number of lychees that each girl used
= 20 u
= 20 x 9
= 180
(b)
Total number of lychees that both girls had left
= 15 u + 8 u
= 23 u
= 23 x 9
= 207
Answer(s): (a) 180; (b) 207