PSLE Ivan had a total of 270 coins in his coin box.
29 of all the coins saved were one-dollar coins. There were 3 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 |
2x3 6 u |
7x3 21 u |
9x3 27 u
|
Comparison between the number of one-dollar and ten-cent coins |
3x2 |
1x2 |
|
|
Number |
6 u |
2 u |
19 u |
27 u |
Value |
1 |
0.1 |
0.5 |
|
Number x value |
6 u |
0.2 u |
9.5 u |
15.7 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 2 and 3 = 6
Total number of coins = 27 u
27 u = 270
1 u = 270 ÷ 27 = 10
Total value of coins
= 6 u 0.2 u 9.5 u
= 15.7 u
= 15.7 x 10
= $157
Answer(s): $157