Ethan had some coins. 45% of his coins were made up of 20-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 Ethan had $34 more 20-cent coins than 5-cent coins, how many coins did Ethan have altogether?
| |
5-cent |
20-cent |
$1 |
Total |
| Number |
2 u |
9 u |
9 u |
20 u |
| Value |
5 |
20 |
100 |
|
| Total value |
10 u |
180 u |
900 u |
|
45% =
45100 =
920The number of 20-cent coins and $1 coins is the same.
Number of 5-cent coins
= 20 u - 9 u - 9 u
= 2 u
$1 = 100¢
$34 x 100 = 34 x 100 = 3400¢
Number of more 20-cent coins than 5-cent coins
= 180 u - 10 u
= 170 u
170 u = 3400
1 u = 3400 ÷ 170 = 20
Total number of coins that Ethan had
= 2 u + 9 u + 9 u
= 20 u
= 20 x 20
= 400
Answer(s): 400
