Lynn and Joelle used the same number of lychees to bake cakes. Lynn used
34 of her lychees and Joelle used
58 of her lychees. They had a total of 396 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Lynn |
Joelle |
Total |
Before |
4x5 = 20 u |
8x3 = 24 u |
44 u |
Change |
- 3x5 = - 15 u |
- 5x3 = - 15 u |
|
After |
1x5 = 5 u |
3x3 = 9 u |
14 u |
(a)
Lynn and Joelle used the same number of lychees to bake cakes. Make the numerators the same. LCM of 3 and 5 is 15.
3x54x5 of Mary's lychees =
5x38x3 of Joelle's lychees
1520 of Mary's lychees =
1524 of Joelle's lychees
Total number of lychees at first
= 20 u + 24 u
= 44 u
44 u = 396
1 u = 396 ÷ 44 = 9
Number of lychees that each girl used
= 15 u
= 15 x 9
= 135
(b)
Total number of lychees that both girls had left
= 5 u + 9 u
= 14 u
= 14 x 9
= 126
Answer(s): (a) 135; (b) 126