PSLE Vincent saved a total of $56 in coins in his coin box.
37 of all the coins saved were one-dollar coins. There were 2 times as many one-dollar coins as fifty-cent coins. The remaining coins were ten-cent coins. How many coins did Vincent save in his coin box altogether?
|
One-dollar |
Fifty-cent |
Ten-cent |
Total |
Comparison between the number of 3 types of coins |
3x2 6 u |
4x2 8 u |
7x2 14 u
|
Comparison between the number of one-dollar and fifty-cent coins |
2x3 |
1x3 |
|
|
Number |
6 u |
3 u |
5 u |
14 u |
Value |
1 |
0.5 |
0.1 |
|
Number x value |
6 u |
1.5 u |
0.5 u |
8 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 = 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Total number of coins
= 6 u + 3 u + 5 u
= 14 u
= 14 x 7
= 98
Answer(s): 98