An advertisement for a steel-belted radial tire states that this tire delivers 16% better gas mileage. If the present gas mileage is 24.5 mpg, what mileage would you expect if you purchased these tires? Round your answer to the nearest tenth of a mile per gallon.
26.5/X = 12/100
26.5(100)= 2650
2650=12X
2650/12X
3.18mpg
what's all this ratio stuff?
16% better mileage means the current value times 1.16
To find the expected gas mileage if you purchased these tires, you can set up a proportion. Let's call the expected gas mileage X.
The proportion is:
(original gas mileage) / (expected gas mileage) = (percentage increase) / 100
Using the given values:
24.5 mpg / X = 16 / 100
To solve for X, cross multiply:
(24.5) (100) = X (16)
Therefore,
2450 = 16X
Now, divide both sides of the equation by 16:
2450 / 16 = X
The answer is approximately 153.1.
Therefore, if you purchased these tires, you would expect a gas mileage of approximately 153.1 mpg.
To find the expected gas mileage if you purchased these tires, you need to calculate the percentage increase and apply it to the present gas mileage.
First, convert the given percentage increase of 16% to a decimal by dividing it by 100.
16% / 100 = 0.16
Next, calculate the increase in gas mileage by multiplying the present gas mileage by the decimal.
16% of 24.5 mpg = 0.16 * 24.5 = 3.92 mpg
Finally, add the increase to the present gas mileage to get the expected gas mileage.
24.5 mpg + 3.92 mpg = 28.42 mpg
Rounded to the nearest tenth, the expected gas mileage if you purchased these tires would be 28.4 mpg.