Shannon and three friends are driving 2000miles to California.The car consumes 3 gallons of gas per 75 miles,and gas costs $2.00 per gallon.If Shannon and her friends want to split the cost of gas evenly,how much should they each pay
(2000/75) * 3 * $2 = ?
?/4 = ??
If 3 gallons take you 75 miles
x gallons will take you 2000 miles
ratio setup:
3/x = 75/2000
75x = 6000
x = 80
total cost = 2x = ....
each equal share = 2x/3 = ....
For equal share, divide by 4 persons.
To find out how much Shannon and her friends should each pay, we need to determine the total cost of gas and then divide it equally among them.
First, let's calculate the total number of gallons of gas needed for the entire trip. We know that the car consumes 3 gallons of gas for every 75 miles, so we can set up the following ratio:
3 gallons / 75 miles = X gallons / 2000 miles
Cross-multiplying, we get:
75 * X = 3 * 2000
75X = 6000
Solving for X:
X = 6000 / 75
X = 80
Therefore, Shannon and her friends will need a total of 80 gallons of gas for the trip.
Next, let's calculate the total cost of gas. We know that gas costs $2.00 per gallon, so we can multiply the number of gallons needed (80) by the cost per gallon ($2.00):
Total cost of gas = 80 gallons * $2.00/gallon
Total cost of gas = $160.00
Now, to split the cost evenly among Shannon and her three friends, including herself, we divide the total cost of gas by the number of people:
Each person's payment = Total cost of gas / Number of people
Each person's payment = $160.00 / 4
Each person's payment = $40.00
Therefore, Shannon and her three friends should each pay $40.00 towards the cost of gas for the trip.