Kathy and Risa used the same number of longans to bake cakes. Kathy used
47 of her longans and Risa used
58 of her longans. They had a total of 402 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
| |
Kathy |
Risa |
Total |
Before |
7x5 =
35 u |
8x4 =
32 u |
67 u |
Change |
- 4x5 =
- 20 u |
- 5x4 =
- 20 u |
|
After |
3x5 =
15 u |
3x4 =
12 u |
27 u |
(a)
Kathy and Risa used the same number of longans to bake cakes. Make the numerators the same. LCM of 4 and 5 is 20.
4x57x5 of Mary's longans =
5x48x4 of Risa's longans
2035 of Mary's longans =
2032 of Risa's longans
Total number of longans at first
= 35 u + 32 u
= 67 u
67 u = 402
1 u = 402 ÷ 67 = 6
Number of longans that each girl used
= 20 u
= 20 x 6
= 120
(b)
Total number of longans that both girls had left
= 15 u + 12 u
= 27 u
= 27 x 6
= 162
Answer(s): (a) 120; (b) 162
