Tim 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 5-cent coins. Given that Tim had $32 more 50-cent coins than 5-cent coins, how many coins did Tim have altogether?
| |
5-cent |
50-cent |
$1 |
Total |
| Number |
6 u |
7 u |
7 u |
20 u |
| Value |
5 |
50 |
100 |
|
| Total value |
30 u |
350 u |
700 u |
|
35% =
35100 =
720The number of 50-cent coins and $1 coins is the same.
Number of 5-cent coins
= 20 u - 7 u - 7 u
= 6 u
$1 = 100¢
$32 x 100 = 32 x 100 = 3200¢
Number of more 50-cent coins than 5-cent coins
= 350 u - 30 u
= 320 u
320 u = 3200
1 u = 3200 ÷ 320 = 10
Total number of coins that Tim had
= 6 u + 7 u + 7 u
= 20 u
= 20 x 10
= 200
Answer(s): 200
