PSLE Lee had a total of 160 coins in his coin box.
14 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 |
1x4 4 u |
3x4 12 u |
4x4 16 u
|
Comparison between the number of one-dollar and ten-cent coins |
4x1 |
1x1 |
|
|
Number |
4 u |
1 u |
11 u |
16 u |
Value |
1 |
0.1 |
0.5 |
|
Number x value |
4 u |
0.1 u |
5.5 u |
9.6 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 1 and 4 = 4
Total number of coins = 16 u
16 u = 160
1 u = 160 ÷ 16 = 10
Total value of coins
= 4 u 0.1 u 5.5 u
= 9.6 u
= 9.6 x 10
= $96
Answer(s): $96