Linda and Xylia used the same number of lychees to bake cakes. Linda used
34 of her lychees and Xylia used
45 of her lychees. They had a total of 93 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Linda |
Xylia |
Total |
Before |
4x4 = 16 u |
5x3 = 15 u |
31 u |
Change |
- 3x4 = - 12 u |
- 4x3 = - 12 u |
|
After |
1x4 = 4 u |
1x3 = 3 u |
7 u |
(a)
Linda and Xylia used the same number of lychees to bake cakes. Make the numerators the same. LCM of 3 and 4 is 12.
3x44x4 of Mary's lychees =
4x35x3 of Xylia's lychees
1216 of Mary's lychees =
1215 of Xylia's lychees
Total number of lychees at first
= 16 u + 15 u
= 31 u
31 u = 93
1 u = 93 ÷ 31 = 3
Number of lychees that each girl used
= 12 u
= 12 x 3
= 36
(b)
Total number of lychees that both girls had left
= 4 u + 3 u
= 7 u
= 7 x 3
= 21
Answer(s): (a) 36; (b) 21