Will, Tim and Harry had 140 marbles. After Will used 21 marbles and Tim used
15 of her marbles, Will had four times as many marbles left as Tim. Harry bought another 26 marbles, he had twice the number of marbles Tim had left. How many marbles did Harry have at first?
| |
Will |
Tim |
Harry |
Total |
| Before |
16 u + 21 |
5 u |
8 u - 26 |
140 |
| Change |
- 21 |
- 1 u |
+ 26 |
|
| After |
16 u |
4 u |
8 u |
|
Comparing Will
and Tim in the end |
4 |
1 |
|
|
Comparing Harry
and Tim in the end |
|
1 |
2 |
|
Number of marbles that Will had in the end
= 4 x 4 u
= 16 u
Number of marbles that Harry had in the end
= 2 x 4 u
= 8 u
Total number of marbles at first
= 16 u + 21 + 5 u + 8 u - 26
= 29 u - 5
29 u - 5 = 140
29 u = 140 + 5
29 u = 145
1 u = 145 ÷ 29 = 5
Number of marbles that Harry had at first
= 8 u - 26
= 8 x 5 - 26
= 40 - 26
= 14
Answer(s): 14
