Japheth had some coins. 36% 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 10-cent coins. Given that Japheth had $57 more 50-cent coins than 10-cent coins, how many coins did Japheth have altogether?
|
10-cent |
50-cent |
$1 |
Total |
Number |
7 u |
9 u |
9 u |
25 u |
Value |
10 |
50 |
100 |
|
Total value |
70 u |
450 u |
900 u |
|
36% =
36100 =
925The number of 50-cent coins and $1 coins is the same.
Number of 10-cent coins
= 25 u - 9 u - 9 u
= 7 u
$1 = 100¢
$57 x 100 = 57 x 100 = 5700¢
Number of more 50-cent coins than 10-cent coins
= 450 u - 70 u
= 380 u
380 u = 5700
1 u = 5700 ÷ 380 = 15
Total number of coins that Japheth had
= 7 u + 9 u + 9 u
= 25 u
= 25 x 15
= 375
Answer(s): 375