you and a friend are paid $38.25 for doing yard work. you worked 2.5 hours and your friend worked 2 hours. you split the money according to the amount of time each of you worked. how much is your share of the money? explain.
the ratio of your hours
= 2.5 : 2
= 5 : 4
So let their amounts be 5x and 4x
5x+4x = 38.25
x = 4.25
evaluate 5x and 4x to find their individual amounts.
15
To find your share of the money, we first need to calculate the total time both you and your friend worked. You worked for 2.5 hours, and your friend worked for 2 hours. So, the total time worked is 2.5 + 2 = 4.5 hours.
Next, we need to determine the portion of the total time that you contributed. You worked for 2.5 hours out of the total 4.5 hours. To find the fraction of your contribution, we divide the number of hours you worked by the total number of hours worked: 2.5 / 4.5 = 5/9.
Now, we multiply this fraction by the total money earned to calculate your share. Your share is (5/9) * $38.25 = $<<5/9*38.25=21.25>>21.25.
Therefore, your share of the money is $21.25.
To find out your share of the money, you need to determine the ratio of the time you worked to the total time worked by both you and your friend.
First, calculate the total time worked by adding your hours and your friend's hours: 2.5 + 2 = 4.5 hours.
Next, calculate the ratio of your time worked by dividing your hours by the total hours: 2.5 / 4.5 = 0.5556 (rounded to four decimal places).
Now, multiply the ratio by the total payment to determine your share of the money: 0.5556 * $38.25 = $21.25 (rounded to the nearest cent).
Therefore, your share of the money is $21.25.