PSLE Julian saved a total of $152 in coins in his coin box.
38 of all the coins saved were one-dollar coins. There were 4 times as many one-dollar coins as fifty-cent coins. The remaining coins were ten-cent coins. How many coins did Julian save in his coin box altogether?
|
One-dollar |
Fifty-cent |
Ten-cent |
Total |
Comparison between the number of 3 types of coins |
3x4 12 u |
5x4 20 u |
8x4 32 u
|
Comparison between the number of one-dollar and fifty-cent coins |
4x3 |
1x3 |
|
|
Number |
12 u |
3 u |
17 u |
32 u |
Value |
1 |
0.5 |
0.1 |
|
Number x value |
12 u |
1.5 u |
1.7 u |
15.2 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 3 and 4 = 12
Total value of coins = 15.2 u
15.2 u = 152
1 u = 152 ÷ 15.2 = 10
Total number of coins
= 12 u + 3 u + 17 u
= 32 u
= 32 x 10
= 320
Answer(s): 320