PSLE Albert saved a total of $257 in coins in his coin box.
112 of all the coins saved were one-dollar coins. There were 4 times as many one-dollar coins as twenty-cent coins. The remaining coins were fifty-cent coins. How many coins did Albert save in his coin box altogether?
|
One-dollar |
Twenty-cent |
Fifty-cent |
Total |
Comparison between the number of 3 types of coins |
1x4 4 u |
11x4 44 u |
12x4 48 u
|
Comparison between the number of one-dollar and twenty-cent coins |
4x1 |
1x1 |
|
|
Number |
4 u |
1 u |
43 u |
48 u |
Value |
1 |
0.2 |
0.5 |
|
Number x value |
4 u |
0.2 u |
21.5 u |
25.7 u |
Number of $1 coins is the repeated identity.
Make the number of $1 coins the same.
LCM of 1 and 4 = 4
Total value of coins = 25.7 u
25.7 u = 257
1 u = 257 ÷ 25.7 = 10
Total number of coins
= 4 u + 1 u + 43 u
= 48 u
= 48 x 10
= 480
Answer(s): 480