Kimberly and Zoe used the same number of lychees to bake cakes. Kimberly used
47 of her lychees and Zoe used
35 of her lychees. They had a total of 164 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Kimberly |
Zoe |
Total |
Before |
7x3 = 21 u |
5x4 = 20 u |
41 u |
Change |
- 4x3 = - 12 u |
- 3x4 = - 12 u |
|
After |
3x3 = 9 u |
2x4 = 8 u |
17 u |
(a)
Kimberly and Zoe used the same number of lychees to bake cakes. Make the numerators the same. LCM of 4 and 3 is 12.
4x37x3 of Mary's lychees =
3x45x4 of Zoe's lychees
1221 of Mary's lychees =
1220 of Zoe's lychees
Total number of lychees at first
= 21 u + 20 u
= 41 u
41 u = 164
1 u = 164 ÷ 41 = 4
Number of lychees that each girl used
= 12 u
= 12 x 4
= 48
(b)
Total number of lychees that both girls had left
= 9 u + 8 u
= 17 u
= 17 x 4
= 68
Answer(s): (a) 48; (b) 68