Flynn, Luis and Paul had 240 marbles. After Flynn used 16 marbles and Luis used
17 of her marbles, Flynn had thrice as many marbles left as Luis. Paul bought another 21 marbles, he had four times the number of marbles Luis had left. How many marbles did Paul have at first?
| |
Flynn |
Luis |
Paul |
Total |
| Before |
18 u + 16 |
7 u |
24 u - 21 |
240 |
| Change |
- 16 |
- 1 u |
+ 21 |
|
| After |
18 u |
6 u |
24 u |
|
Comparing Flynn
and Luis in the end |
3 |
1 |
|
|
Comparing Paul
and Luis in the end |
|
1 |
4 |
|
Number of marbles that Flynn had in the end
= 3 x 6 u
= 18 u
Number of marbles that Paul had in the end
= 4 x 6 u
= 24 u
Total number of marbles at first
= 18 u + 16 + 7 u + 24 u - 21
= 49 u - 5
49 u - 5 = 240
49 u = 240 + 5
49 u = 245
1 u = 245 ÷ 49 = 5
Number of marbles that Paul had at first
= 24 u - 21
= 24 x 5 - 21
= 120 - 21
= 99
Answer(s): 99
