PSLE Asher had a total of 192 coins in his coin box.
58 of all the coins saved were one-dollar coins. There were 4 times as many one-dollar coins as ten-cent coins. The remaining coins were fifty-cent coins. What was the total value of all the coins in his coin box?
|
One-dollar |
Ten-cent |
Fifty-cent |
Total |
Comparison between the number of 3 types of coins |
5x4 20 u |
3x4 12 u |
8x4 32 u
|
Comparison between the number of one-dollar and ten-cent coins |
4x5 |
1x5 |
|
|
Number |
20 u |
5 u |
7 u |
32 u |
Value |
1 |
0.1 |
0.5 |
|
Number x value |
20 u |
0.5 u |
3.5 u |
24 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 5 and 4 = 20
Total number of coins = 32 u
32 u = 192
1 u = 192 ÷ 32 = 6
Total value of coins
= 20 u 0.5 u 3.5 u
= 24 u
= 24 x 6
= $144
Answer(s): $144