Elizabeth pumps 3 1/2 gallons of gas in 1/4 of a tank. How many gallons does a full tank hold?
Write an expression to represent the problem.
Solve the problem:
3 1/2 = (1/4)x
3.5 / 0.25 = x
To find out how many gallons a full tank holds, we need to solve the problem step by step.
1. Let's assume that the capacity of the full tank is "x" gallons.
2. We know that Elizabeth pumps 3 1/2 gallons of gas in 1/4 of a tank. So, the amount of gas she pumps in 1/4 of a tank can be represented as (3 1/2) / (1/4).
3. To divide a whole number by a fraction, we multiply the whole number by the reciprocal of the fraction. Therefore, (3 1/2) / (1/4) can be calculated as (7/2) * (4/1) = 14 gallons.
4. We know that 14 gallons represents 1/4 of the tank's capacity. So, we can set up the equation: 14 = (1/4) * x.
5. To solve for x, we need to multiply both sides of the equation by 4: 4 * 14 = x.
6. The answer is x = 56. Therefore, a full tank holds 56 gallons of gas.
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