PSLE Howard had a total of 75 coins in his coin box.
15 of all the coins saved were one-dollar coins. There were 3 times as many one-dollar coins as fifty-cent coins. The remaining coins were ten-cent coins. What was the total value of all the coins in his coin box?
|
One-dollar |
Fifty-cent |
Ten-cent |
Total |
Comparison between the number of 3 types of coins |
1x3 3 u |
4x3 12 u |
5x3 15 u
|
Comparison between the number of one-dollar and fifty-cent coins |
3x1 |
1x1 |
|
|
Number |
3 u |
1 u |
11 u |
15 u |
Value |
1 |
0.5 |
0.1 |
|
Number x value |
3 u |
0.5 u |
1.1 u |
4.6 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 1 and 3 = 3
Total number of coins = 15 u
15 u = 75
1 u = 75 ÷ 15 = 5
Total value of coins
= 3 u 0.5 u 1.1 u
= 4.6 u
= 4.6 x 5
= $23
Answer(s): $23