PSLE Fred had a total of 280 coins in his coin box.
310 of all the coins saved were one-dollar coins. There were 4 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 |
3x4 12 u |
7x4 28 u |
10x4 40 u
|
Comparison between the number of one-dollar and fifty-cent coins |
4x3 |
1x3 |
|
|
Number |
12 u |
3 u |
25 u |
40 u |
Value |
1 |
0.5 |
0.1 |
|
Number x value |
12 u |
1.5 u |
2.5 u |
16 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 3 and 4 = 12
Total number of coins = 40 u
40 u = 280
1 u = 280 ÷ 40 = 7
Total value of coins
= 12 u 1.5 u 2.5 u
= 16 u
= 16 x 7
= $112
Answer(s): $112