Quick - question: the table below shows the number of times the dishwasher was used in three different houses over three days. -on friday, 17.5 total gallons of water were used. on saturday, 31.5 total gallons were used. on sunday, 24.75 total gallons were used. what is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water? a. 0.5 gallon b. 0.75 gallon c. 3 gallons d. 4 gallons will mark brainliest! picture below.

Option B. 0.75 gallons is the right answer.

Step-by-step explanation:

Let the load of dishwasher used in house A = x gallons

Let the load of dishwasher used in house B is = y gallons

and similarly we assume for house C = z gallons

Now from the given question

On Friday amount of water used in all three houses = 17.5 gallons

From the table we will make the equation

x + 2y + 2z = 17.5(1)

For Saturday

2x + 3y + 4z = 31.5 (2)

For Sunday

2x + 2y + 3z = 24.75 (3)

By subtracting equation 3 from 2

y + z = 31.5 - 24.75 = 6.75 (4)

Equation (1) multiplied by 2 - equation (2)

2×(x + 2y + 2z) - (2x + 3y + 4z) = 17.5×2 - 31.5

y = 35 - 31.5 = 3.5

By putting y = 3.5 in the equation (4)

z = 6.75 - 3.5 = 3.25

By putting y = 3.5 and z = 3.25 in the equation (1)

x + 7 + 6.5 = 17.5

x = 17.5 - 13.5 = 4

Now the difference between load of dishwasher that uses least water and the most.

x - z = 4 - 3.25 = 0.75 gallons

Option B is the right answer.

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