Question

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

Answer 1

I think that you mistyped the numbers regarding this question. Based on some similar questions I have seen, did you mean to say "4 gallons", "6 times" and "215 loads"? If so, here is the solution I came up with and my reasoning.

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We are given the following information:

• The dishwasher in question uses 4 gallons of water per load.

• The advertisement claims that handwashing dishes uses 6 times as much water then the dishwasher being advertised.
• Based on the estimate, we need to determine the amount of gallons that would be saved to wash 215 loads using the dishwasher instead of handwashing them.

This information being given we work through the steps as follows:

1. First, multiply 4 by 215.

`4` ×
`215=860`

2. Now, multiply 860 by 6.

`6` ×
`860 = 5,160`

3. Finally, take 5,160 and subtract it by 860.

`5,160-860=4,300`

Hence, our solution would be
`4,300`.

Hope this helps!

Answer 2

Answer: 6.35444444×10^13 gallons

Explanation:

So a dishwasher uses 444 gallons of water per load.

That means it'll use 444*215215215 = 95555555460 gallons of water for 215215215 loads

Since washing dishes by hand takes 666 as much as water in comparison to using a dishwasher, we can do 95555555460x666 to find that you need 6.36399999×10^13 gallons of water to wash 215215215 loads.

The question asks for how much more water in gallons you can save, so do 6.36399999×10^13 - 95555555460 to get 6.35444444×10^13 gallons