Paul had some coins. 36% of his coins were made up of 50-cent coins which was equal to the number of $1 coins. The rest of the coins were made up of 5-cent coins. Given that Paul had $83 more 50-cent coins than 5-cent coins, how many coins did Paul have altogether?
| |
5-cent |
50-cent |
$1 |
Total |
| Number |
7 u |
9 u |
9 u |
25 u |
| Value |
5 |
50 |
100 |
|
| Total value |
35 u |
450 u |
900 u |
|
36% =
36100 =
925The number of 50-cent coins and $1 coins is the same.
Number of 5-cent coins
= 25 u - 9 u - 9 u
= 7 u
$1 = 100¢
$83 x 100 = 83 x 100 = 8300¢
Number of more 50-cent coins than 5-cent coins
= 450 u - 35 u
= 415 u
415 u = 8300
1 u = 8300 ÷ 415 = 20
Total number of coins that Paul had
= 7 u + 9 u + 9 u
= 25 u
= 25 x 20
= 500
Answer(s): 500
