Vaidev, Tim and Henry had 252 erasers. After Vaidev used 13 erasers and Tim used
27 of her erasers, Vaidev had twice as many erasers left as Tim. Henry bought another 20 erasers, he had four times the number of erasers Tim had left. How many erasers did Henry have at first?
| |
Vaidev |
Tim |
Henry |
Total |
| Before |
10 u + 13 |
7 u |
20 u - 20 |
252 |
| Change |
- 13 |
- 2 u |
+ 20 |
|
| After |
10 u |
5 u |
20 u |
|
Comparing Vaidev
and Tim in the end |
2 |
1 |
|
|
Comparing Henry
and Tim in the end |
|
1 |
4 |
|
Number of erasers that Vaidev had in the end
= 2 x 5 u
= 10 u
Number of erasers that Henry had in the end
= 4 x 5 u
= 20 u
Total number of erasers at first
= 10 u + 13 + 7 u + 20 u - 20
= 37 u - 7
37 u - 7 = 252
37 u = 252 + 7
37 u = 259
1 u = 259 ÷ 37 = 7
Number of erasers that Henry had at first
= 20 u - 20
= 20 x 7 - 20
= 140 - 20
= 120
Answer(s): 120
