Ryan 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 5-cent coins. Given that Ryan had $66 more 50-cent coins than 5-cent coins, how many coins did Ryan have altogether?
|
5-cent |
50-cent |
$1 |
Total |
Number |
2 u |
9 u |
9 u |
20 u |
Value |
5 |
50 |
100 |
|
Total value |
10 u |
450 u |
900 u |
|
45% =
45100 =
920The number of 50-cent coins and $1 coins is the same.
Number of 5-cent coins
= 20 u - 9 u - 9 u
= 2 u
$1 = 100¢
$66 x 100 = 66 x 100 = 6600¢
Number of more 50-cent coins than 5-cent coins
= 450 u - 10 u
= 440 u
440 u = 6600
1 u = 6600 ÷ 440 = 15
Total number of coins that Ryan had
= 2 u + 9 u + 9 u
= 20 u
= 20 x 15
= 300
Answer(s): 300