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?
28 oz.
32 oz.
24 oz.
36 oz.

Answer 1

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