Sabrina and Jean used the same number of lychees to bake cakes. Sabrina used
27 of her lychees and Jean used
37 of her lychees. They had a total of 315 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Sabrina |
Jean |
Total |
Before |
7x3 = 21 u |
7x2 = 14 u |
35 u |
Change |
- 2x3 = - 6 u |
- 3x2 = - 6 u |
|
After |
5x3 = 15 u |
4x2 = 8 u |
23 u |
(a)
Sabrina and Jean 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 =
3x27x2 of Jean's lychees
621 of Mary's lychees =
614 of Jean's lychees
Total number of lychees at first
= 21 u + 14 u
= 35 u
35 u = 315
1 u = 315 ÷ 35 = 9
Number of lychees that each girl used
= 6 u
= 6 x 9
= 54
(b)
Total number of lychees that both girls had left
= 15 u + 8 u
= 23 u
= 23 x 9
= 207
Answer(s): (a) 54; (b) 207