Fanny and Raeann used the same number of lychees to bake cakes. Fanny used
34 of her lychees and Raeann used
27 of her lychees. They had a total of 203 lychees at first.
- How many lychees did each girl use?
- How many lychees did both girls have left altogether?
|
Fanny |
Raeann |
Total |
Before |
4x2 = 8 u |
7x3 = 21 u |
29 u |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
|
After |
1x2 = 2 u |
5x3 = 15 u |
17 u |
(a)
Fanny and Raeann used the same number of lychees to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x24x2 of Mary's lychees =
2x37x3 of Raeann's lychees
68 of Mary's lychees =
621 of Raeann's lychees
Total number of lychees at first
= 8 u + 21 u
= 29 u
29 u = 203
1 u = 203 ÷ 29 = 7
Number of lychees that each girl used
= 6 u
= 6 x 7
= 42
(b)
Total number of lychees that both girls had left
= 2 u + 15 u
= 17 u
= 17 x 7
= 119
Answer(s): (a) 42; (b) 119