Tina and Jen used the same number of lychees to bake cakes. Tina used
27 of her lychees and Jen used
38 of her lychees. They had a total of 370 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Tina |
Jen |
Total |
Before |
7x3 = 21 u |
8x2 = 16 u |
37 u |
Change |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
|
After |
5x3 = 15 u |
5x2 = 10 u |
25 u |
(a)
Tina and Jen used the same number of lychees to bake cakes. Make the numerators the same. LCM of 2 and 3 is 6.
2x37x3 of Mary's lychees =
3x28x2 of Jen's lychees
621 of Mary's lychees =
616 of Jen's lychees
Total number of lychees at first
= 21 u + 16 u
= 37 u
37 u = 370
1 u = 370 ÷ 37 = 10
Number of lychees that each girl used
= 6 u
= 6 x 10
= 60
(b)
Total number of lychees that both girls had left
= 15 u + 10 u
= 25 u
= 25 x 10
= 250
Answer(s): (a) 60; (b) 250