Olivia and Rachel used the same number of longans to bake cakes. Olivia used
57 of her longans and Rachel used
25 of her longans. They had a total of 312 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
| |
Olivia |
Rachel |
Total |
Before |
7x2 =
14 u |
5x5 =
25 u |
39 u |
Change |
- 5x2 =
- 10 u |
- 2x5 =
- 10 u |
|
After |
2x2 =
4 u |
3x5 =
15 u |
19 u |
(a)
Olivia and Rachel used the same number of longans to bake cakes. Make the numerators the same. LCM of 5 and 2 is 10.
5x27x2 of Mary's longans =
2x55x5 of Rachel's longans
1014 of Mary's longans =
1025 of Rachel's longans
Total number of longans at first
= 14 u + 25 u
= 39 u
39 u = 312
1 u = 312 ÷ 39 = 8
Number of longans that each girl used
= 10 u
= 10 x 8
= 80
(b)
Total number of longans that both girls had left
= 4 u + 15 u
= 19 u
= 19 x 8
= 152
Answer(s): (a) 80; (b) 152
