Yoko and Irene used the same number of longans to bake cakes. Yoko used
37 of her longans and Irene used
25 of her longans. They had a total of 116 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
|
Yoko |
Irene |
Total |
Before |
7x2 = 14 u |
5x3 = 15 u |
29 u |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
|
After |
4x2 = 8 u |
3x3 = 9 u |
17 u |
(a)
Yoko and Irene used the same number of longans to bake cakes. Make the numerators the same. LCM of 3 and 2 is 6.
3x27x2 of Mary's longans =
2x35x3 of Irene's longans
614 of Mary's longans =
615 of Irene's longans
Total number of longans at first
= 14 u + 15 u
= 29 u
29 u = 116
1 u = 116 ÷ 29 = 4
Number of longans that each girl used
= 6 u
= 6 x 4
= 24
(b)
Total number of longans that both girls had left
= 8 u + 9 u
= 17 u
= 17 x 4
= 68
Answer(s): (a) 24; (b) 68