Ben had some coins. 35% 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 Ben had $46 more 50-cent coins than 20-cent coins, how many coins did Ben have altogether?
| |
20-cent |
50-cent |
$1 |
Total |
| Number |
6 u |
7 u |
7 u |
20 u |
| Value |
20 |
50 |
100 |
|
| Total value |
120 u |
350 u |
700 u |
|
35% =
35100 =
720The number of 50-cent coins and $1 coins is the same.
Number of 20-cent coins
= 20 u - 7 u - 7 u
= 6 u
$1 = 100¢
$46 x 100 = 46 x 100 = 4600¢
Number of more 50-cent coins than 20-cent coins
= 350 u - 120 u
= 230 u
230 u = 4600
1 u = 4600 ÷ 230 = 20
Total number of coins that Ben had
= 6 u + 7 u + 7 u
= 20 u
= 20 x 20
= 400
Answer(s): 400
