Respuesta :
Answer:
They recover 43.75 gallons of oil.
Step-by-step explanation:
A car repair company changes the oil of 50 cars and they recover an average of 3 1/2 quarts of oil from each car.
Now, to find the gallons of oil they recover.
Number of cars the car company changes the oil = 50.
Quantity of oil they recover from each car = [tex]\frac{7}{2} \ quarts.[/tex]
Now, to get the total quantity of oil they recover we multiply number of cars the car company changes the oil by quantity of oil they recover from each car:
Number of cars the car company changes the oil × Quantity of oil they recover from each car.
[tex]50\times \frac{7}{2}[/tex]
[tex]=50\times 3.5[/tex]
[tex]=175\ quarts.[/tex]
The car company recovers 175 quarts of oil.
Now, to get the gallons of oil we convert the quarts into gallons by using conversion factor:
1 quart = 0.25 gallon.
175 quarts = 0.25 × 175 gallons.
175 quarts = 43.75 gallons.
Therefore, they recover 43.75 gallons of oil.
Answer:
43.75 gallons
Step-by-step explanation:
Given:
Suppose a car repair company changes the oil of 50 cars and they recover an average of 3 1/2 quarts of oil from each car.
Question asked:
How many gallons of oil did they recover ?
Solution:
By unitary method:
A car company recover from 1 car = [tex]3\frac{1}{2} =\frac{3\times2+1}{2} =\frac{7}{2} \ quarts[/tex]
A car company recover from 50 cars = [tex]\frac{7}{2} \times50=\frac{350}{2} =175\ quarts[/tex]
Now, we will convert it into gallons:
As we know that 1 quart = 0.25 gallons
175 quarts = [tex]0.25\times175=43.75\ gallons[/tex]
Thus, a car company recover 43.75 gallons of oil from 50 cars.