Hilda and Zara used the same number of longans to bake cakes. Hilda used
27 of her longans and Zara used
38 of her longans. They had a total of 185 longans at first.
- How many longans did each girl use?
- How many longans did both girls have left altogether?
| |
Hilda |
Zara |
Total |
Before |
7x3 =
21 u |
8x2 =
16 u |
37 u |
Change |
- 2x3 =
- 6 u |
- 3x2 =
- 6 u |
|
After |
5x3 =
15 u |
5x2 =
10 u |
25 u |
(a)
Hilda and Zara used the same number of longans to bake cakes. Make the numerators the same. LCM of 2 and 3 is 6.
2x37x3 of Mary's longans =
3x28x2 of Zara's longans
621 of Mary's longans =
616 of Zara's longans
Total number of longans at first
= 21 u + 16 u
= 37 u
37 u = 185
1 u = 185 ÷ 37 = 5
Number of longans that each girl used
= 6 u
= 6 x 5
= 30
(b)
Total number of longans that both girls had left
= 15 u + 10 u
= 25 u
= 25 x 5
= 125
Answer(s): (a) 30; (b) 125
