Jane and Kylie used the same number of longans to bake cakes. Jane used
25 of her longans and Kylie used
38 of her longans. They had a total of 93 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
| |
Jane |
Kylie |
Total |
Before |
5x3 =
15 u |
8x2 =
16 u |
31 u |
Change |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
|
After |
3x3 =
9 u |
5x2 =
10 u |
19 u |
(a)
Jane and Kylie used the same number of longans to bake cakes. Make the numerators the same. LCM of 2 and 3 is 6.
2x35x3 of Mary's longans =
3x28x2 of Kylie's longans
615 of Mary's longans =
616 of Kylie's longans
Total number of longans at first
= 15 u + 16 u
= 31 u
31 u = 93
1 u = 93 ÷ 31 = 3
Number of longans that each girl used
= 6 u
= 6 x 3
= 18
(b)
Total number of longans that both girls had left
= 9 u + 10 u
= 19 u
= 19 x 3
= 57
Answer(s): (a) 18; (b) 57
