Lynn and Marion used the same number of longans to bake cakes. Lynn used
27 of her longans and Marion used
58 of her longans. They had a total of 204 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
|
Lynn |
Marion |
Total |
Before |
7x5 = 35 u |
8x2 = 16 u |
51 u |
Change |
- 2x5 = - 10 u |
- 5x2 = - 10 u |
|
After |
5x5 = 25 u |
3x2 = 6 u |
31 u |
(a)
Lynn and Marion used the same number of longans to bake cakes. Make the numerators the same. LCM of 2 and 5 is 10.
2x57x5 of Mary's longans =
5x28x2 of Marion's longans
1035 of Mary's longans =
1016 of Marion's longans
Total number of longans at first
= 35 u + 16 u
= 51 u
51 u = 204
1 u = 204 ÷ 51 = 4
Number of longans that each girl used
= 10 u
= 10 x 4
= 40
(b)
Total number of longans that both girls had left
= 25 u + 6 u
= 31 u
= 31 x 4
= 124
Answer(s): (a) 40; (b) 124