Archie, Wesley and Tommy had 252 erasers. After Archie used 25 erasers and Wesley used
17 of her erasers, Archie had twice as many erasers left as Wesley. Tommy bought another 31 erasers, he had four times the number of erasers Wesley had left. How many erasers did Tommy have at first?
| |
Archie |
Wesley |
Tommy |
Total |
| Before |
12 u + 25 |
7 u |
24 u - 31 |
252 |
| Change |
- 25 |
- 1 u |
+ 31 |
|
| After |
12 u |
6 u |
24 u |
|
Comparing Archie
and Wesley in the end |
2 |
1 |
|
|
Comparing Tommy
and Wesley in the end |
|
1 |
4 |
|
Number of erasers that Archie had in the end
= 2 x 6 u
= 12 u
Number of erasers that Tommy had in the end
= 4 x 6 u
= 24 u
Total number of erasers at first
= 12 u + 25 + 7 u + 24 u - 31
= 43 u - 6
43 u - 6 = 252
43 u = 252 + 6
43 u = 258
1 u = 258 ÷ 43 = 6
Number of erasers that Tommy had at first
= 24 u - 31
= 24 x 6 - 31
= 144 - 31
= 113
Answer(s): 113
