PSLE Asher saved a total of $73 in coins in his coin box.
38 of all the coins saved were one-dollar coins. There were 2 times as many one-dollar coins as twenty-cent coins. The remaining coins were ten-cent coins. How many coins did Asher save in his coin box altogether?
|
One-dollar |
Twenty-cent |
Ten-cent |
Total |
Comparison between the number of 3 types of coins |
3x2 6 u |
5x2 10 u |
8x2 16 u
|
Comparison between the number of one-dollar and twenty-cent coins |
2x3 |
1x3 |
|
|
Number |
6 u |
3 u |
7 u |
16 u |
Value |
1 |
0.2 |
0.1 |
|
Number x value |
6 u |
0.6 u |
0.7 u |
7.3 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 3 and 2 = 6
Total value of coins = 7.3 u
7.3 u = 73
1 u = 73 ÷ 7.3 = 10
Total number of coins
= 6 u + 3 u + 7 u
= 16 u
= 16 x 10
= 160
Answer(s): 160