PSLE Ian saved a total of $198 in coins in his coin box.
58 of all the coins saved were one-dollar coins. There were 3 times as many one-dollar coins as twenty-cent coins. The remaining coins were fifty-cent coins. How many coins did Ian save in his coin box altogether?
|
One-dollar |
Twenty-cent |
Fifty-cent |
Total |
Comparison between the number of 3 types of coins |
5x3 15 u |
3x3 9 u |
8x3 24 u
|
Comparison between the number of one-dollar and twenty-cent coins |
3x5 |
1x5 |
|
|
Number |
15 u |
5 u |
4 u |
24 u |
Value |
1 |
0.2 |
0.5 |
|
Number x value |
15 u |
1 u |
2 u |
18 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 5 and 3 = 15
Total value of coins = 18 u
18 u = 198
1 u = 198 ÷ 18 = 11
Total number of coins
= 15 u + 5 u + 4 u
= 24 u
= 24 x 11
= 264
Answer(s): 264