Valen had some coins. 45% 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 20-cent coins. Given that Valen had $82 more 50-cent coins than 20-cent coins, how many coins did Valen have altogether?
| |
20-cent |
50-cent |
$1 |
Total |
| Number |
2 u |
9 u |
9 u |
20 u |
| Value |
20 |
50 |
100 |
|
| Total value |
40 u |
450 u |
900 u |
|
45% =
45100 =
920The number of 50-cent coins and $1 coins is the same.
Number of 20-cent coins
= 20 u - 9 u - 9 u
= 2 u
$1 = 100¢
$82 x 100 = 82 x 100 = 8200¢
Number of more 50-cent coins than 20-cent coins
= 450 u - 40 u
= 410 u
410 u = 8200
1 u = 8200 ÷ 410 = 20
Total number of coins that Valen had
= 2 u + 9 u + 9 u
= 20 u
= 20 x 20
= 400
Answer(s): 400
