Linda and Natalie used the same number of lychees to bake cakes. Linda used
38 of her lychees and Natalie used
25 of her lychees. They had a total of 248 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Linda |
Natalie |
Total |
Before |
8x2 = 16 u |
5x3 = 15 u |
31 u |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
|
After |
5x2 = 10 u |
3x3 = 9 u |
19 u |
(a)
Linda and Natalie used the same number of lychees to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x28x2 of Mary's lychees =
2x35x3 of Natalie's lychees
616 of Mary's lychees =
615 of Natalie's lychees
Total number of lychees at first
= 16 u + 15 u
= 31 u
31 u = 248
1 u = 248 ÷ 31 = 8
Number of lychees that each girl used
= 6 u
= 6 x 8
= 48
(b)
Total number of lychees that both girls had left
= 10 u + 9 u
= 19 u
= 19 x 8
= 152
Answer(s): (a) 48; (b) 152