Usha and Hilda have some scones each. If Usha gives Hilda 27 scones, Usha will have
14 as many scones as Hilda. If Usha gives Hilda 6 scones, they will have an equal number of scones. How many scones does Hilda have at first?
| |
Case 1 |
Case 2 |
| |
Usha |
Hilda |
Usha |
Hilda |
| Before |
1 u + 27 |
4 u - 27 |
2.5 u + 6 |
2.5 u - 6 |
| Change |
- 27 |
+ 27 |
- 6 |
+ 6 |
| After |
1 u |
4 u |
2.5 u |
2.5 u |
Total number of scones that Usha and Hilda have
= 1 u + 4 u
= 5 u
Number of scones that Usha and Hilda each has in the end is the same.
Number of scones that Usha and Hilda each has in the end in Case 2
= 5 u ÷ 2
= 2.5 u
Number of scones that Usha had at first is the same in Case 1 and Case 2.
2.5 u + 6 = 1 u + 27
2.5 u - 1 u = 27 - 6
0.5 u = 21
1 u = 21 ÷ 0.5 = 42
Number of scones that Hilda has
= 4 u - 27
= 4 x 42 - 27
= 168 - 27
= 141
Answer(s): 141
