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A particular dishwasher uses $444$ gallons of water per load. Their advertising claims that hand washing the dishes uses $666$ times as much water. According to this estimate, how many gallons of water would it save to wash $215215215$ loads using the dishwasher instead of by hand

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Make predictions using experimental probability

Full solution

Q. A particular dishwasher uses

444

gallons of water per load. Their advertising claims that hand washing the dishes uses

666

times as much water. According to this estimate, how many gallons of water would it save to wash

215215215

loads using the dishwasher instead of by hand

Calculate Water Usage: Determine the amount of water used by hand washing for one load. $\newline$ Hand washing uses $666$ times as much water as the dishwasher per load. $\newline$ Water used by hand washing for one load $=$ Dishwasher water usage per load $\times 666$ $\newline$ Calculation: $444$ gallons/load $\times 666 = 295704$ gallons/load
Calculate Total for Hand Washing: Calculate the total water used by hand washing for $215215215$ loads. $\newline$ Total water used by hand washing = Water used by hand washing for one load $\times$ Number of loads $\newline$ Calculation: $295704$ gallons/load $\times$ $215215215$ loads = $63636464780$ gallons
Calculate Total for Dishwasher: Calculate the total water used by the dishwasher for $215215215$ loads. $\newline$ Total water used by dishwasher = Dishwasher water usage per load $\times$ Number of loads $\newline$ Calculation: $444$ gallons/load $\times$ $215215215$ loads = $95515595460$ gallons

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