PSLE Daniel had a total of 108 coins in his coin box.
59 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 |
4x4 16 u |
9x4 36 u
|
Comparison between the number of one-dollar and ten-cent coins |
4x5 |
1x5 |
|
|
Number |
20 u |
5 u |
11 u |
36 u |
Value |
1 |
0.1 |
0.5 |
|
Number x value |
20 u |
0.5 u |
5.5 u |
26 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 = 36 u
36 u = 108
1 u = 108 ÷ 36 = 3
Total value of coins
= 20 u 0.5 u 5.5 u
= 26 u
= 26 x 3
= $78
Answer(s): $78