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Answer :
Mr. Allen needs Option A. 28 ounces of fuel preserver to properly store his boat for winter, as determined by the ratio of 1 ounce per 2.5 gallons for his 70-gallon tank.
To find out how much fuel preserver Mr. Allen needs, we need to use the given ratio of 1 ounce of preserver for every 2.5 gallons of gas. The fuel tank holds 70 gallons of gas.
First, we divide the total amount of gas by the ratio:
70 gallons / 2.5 gallons per oz = 28 ounces
So, Mr. Allen needs Option A. 28 ounces of fuel preserver. Hence, the correct answer is 28 oz.
Complete question:
Mr. Allen needs to store his boat for winter. He needs to fill the gas tank and put fuel preserver in the tank. The fuel tank holds 70 gallons and fuel preserver mixes at a ratio of 1 oz. preserver to 2.5 gallons of gas. How much preserver will Mr. Allen need to use?
A. 28 oz.
B. 32 oz.
C. 24 oz.
D. 36 oz.
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Answer:
Mr. Allen will need 28 oz. of preserver
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if p and g are proportional, then:
p = kg
Where k is the constant of proportionality.
Where p is the quantity of preserver Mr. Allen needs to store his boat for winter, and g is the gallons of gas of the tank.
We are already given the ratio of fuel preserver and gallons of gas as 1 oz:2.5 gallons.
The value of k is, then k=1/2.5. The proportion is written as:
p = g/2.5
Since the boat holds g=70 gallons of gas:
p = 70/2.5 = 28
Mr. Allen will need 28 oz. of preserver
