PSLE Rael had a total of 192 coins in his coin box.
112 of all the coins saved were one-dollar coins. There were 4 times as many one-dollar coins as twenty-cent coins. The remaining coins were ten-cent coins. What was the total value of all the coins in his coin box?
|
One-dollar |
Twenty-cent |
Ten-cent |
Total |
Comparison between the number of 3 types of coins |
1x4 4 u |
11x4 44 u |
12x4 48 u
|
Comparison between the number of one-dollar and twenty-cent coins |
4x1 |
1x1 |
|
|
Number |
4 u |
1 u |
43 u |
48 u |
Value |
1 |
0.2 |
0.1 |
|
Number x value |
4 u |
0.2 u |
4.3 u |
8.5 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 = 48 u
48 u = 192
1 u = 192 ÷ 48 = 4
Total value of coins
= 4 u 0.2 u 4.3 u
= 8.5 u
= 8.5 x 4
= $34
Answer(s): $34