PSLE Xavier saved a total of $46 in coins in his coin box.
16 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 ten-cent coins. How many coins did Xavier save in his coin box altogether?
|
One-dollar |
Twenty-cent |
Ten-cent |
Total |
Comparison between the number of 3 types of coins |
1x3 3 u |
5x3 15 u |
6x3 18 u
|
Comparison between the number of one-dollar and twenty-cent coins |
3x1 |
1x1 |
|
|
Number |
3 u |
1 u |
14 u |
18 u |
Value |
1 |
0.2 |
0.1 |
|
Number x value |
3 u |
0.2 u |
1.4 u |
4.6 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 1 and 3 = 3
Total value of coins = 4.6 u
4.6 u = 46
1 u = 46 ÷ 4.6 = 10
Total number of coins
= 3 u + 1 u + 14 u
= 18 u
= 18 x 10
= 180
Answer(s): 180