Lynn and Hilda used the same number of longans to bake cakes. Lynn used
45 of her longans and Hilda used
34 of her longans. They had a total of 124 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
| |
Lynn |
Hilda |
Total |
Before |
5x3 =
15 u |
4x4 =
16 u |
31 u |
Change |
- 4x3 =
- 12 u |
- 3x4 =
- 12 u |
|
After |
1x3 =
3 u |
1x4 =
4 u |
7 u |
(a)
Lynn and Hilda used the same number of longans to bake cakes. Make the numerators the same. LCM of 4 and 3 is 12.
4x35x3 of Mary's longans =
3x44x4 of Hilda's longans
1215 of Mary's longans =
1216 of Hilda's longans
Total number of longans at first
= 15 u + 16 u
= 31 u
31 u = 124
1 u = 124 ÷ 31 = 4
Number of longans that each girl used
= 12 u
= 12 x 4
= 48
(b)
Total number of longans that both girls had left
= 3 u + 4 u
= 7 u
= 7 x 4
= 28
Answer(s): (a) 48; (b) 28
