PSLE Dylan saved a total of $72 in coins in his coin box.
110 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 Dylan save in his coin box altogether?
|
One-dollar |
Fifty-cent |
Ten-cent |
Total |
Comparison between the number of 3 types of coins |
1x4 4 u |
9x4 36 u |
10x4 40 u
|
Comparison between the number of one-dollar and fifty-cent coins |
4x1 |
1x1 |
|
|
Number |
4 u |
1 u |
35 u |
40 u |
Value |
1 |
0.5 |
0.1 |
|
Number x value |
4 u |
0.5 u |
3.5 u |
8 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 = 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Total number of coins
= 4 u + 1 u + 35 u
= 40 u
= 40 x 9
= 360
Answer(s): 360