Please help..urgently..
A charity collected 20 cent and 50 cent coins for a fund raising event in the ratio of 16:7. they collected 6912 20-cent coins. how much money did they collect altogether?
If there were x 50-cent coins,
x/6912 = 7/16
x = 3024
So, they collected 6912*.25 + 3024*.50 = $3240.00
To find out how much money the charity collected altogether, we need to determine the value of each 20-cent coin and then calculate the total amount based on the given information.
Let's start by considering the ratio of 16:7. This tells us that for every 16 units of 20-cent coins, there are 7 units of 50-cent coins.
We are given that they collected 6912 20-cent coins, which represents 16 units in the ratio. To find out how many 50-cent coins they collected, we can set up a proportion:
16 units (20-cent coins) / 6912 coins = 7 units (50-cent coins) / x
Here, x represents the number of 50-cent coins. By cross-multiplying and solving for x, we get:
16 * x = 7 * 6912
16x = 48384
x = 48384 / 16
x = 3024
Therefore, the charity collected 3024 50-cent coins.
Now, let's calculate the total amount collected.
The value of each 20-cent coin is 20 cents, and the charity collected 6912 of them, so the total value of the 20-cent coins is:
20 cents/coin * 6912 coins = $138240
Similarly, the value of each 50-cent coin is 50 cents, and the charity collected 3024 of them. Therefore, the total value of the 50-cent coins is:
50 cents/coin * 3024 coins = $151200
Adding the values of the 20-cent and 50-cent coins together:
$138240 + $151200 = $289440
Therefore, the charity collected a total of $2894.40.