Dana and Nora used the same number of longans to bake cakes. Dana used
37 of her longans and Nora used
25 of her longans. They had a total of 290 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
| |
Dana |
Nora |
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)
Dana and Nora 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 Nora's longans
614 of Mary's longans =
615 of Nora's longans
Total number of longans at first
= 14 u + 15 u
= 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
Number of longans that each girl used
= 6 u
= 6 x 10
= 60
(b)
Total number of longans that both girls had left
= 8 u + 9 u
= 17 u
= 17 x 10
= 170
Answer(s): (a) 60; (b) 170
