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John and Gary share a workload. At a certain point, John worked 2 more hours than Gary. The next day, John has worked 4 of Gary’s usual hours. How many more hours has John worked than Gary?

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Astute
If these both men were working at normal hours, and then, (John) worked "2 more hours" than Gary has, this would just mean that he has worked more.

x+2= x+2.

Now if John has worked the double amount, 4 more times than Gary's usual hours, this would mean something quite different.

Then the expression would look like, (x+2×4x)

We don't know how many hours are the "usual hours", this is what "x" would then represent.

John has then worked (4×2+x) more hours than Gary.

Your answer: (4×2+x)
wifeylei

Answer:

The answer is 10.

Step-by-step explanation:

John works 2 more hours on the first day, so he starts with having 2 hours more than Gary.

He covers 4 hour for Gary, meaning John gained 4 hours and Gary lost 4 hours.

2 + 4 + 4 = 10

or

John begins with x hours which means that Gary worked x - 2 hours. John's total increases to x + 4 hours while Gary's to x - 6. Therefore, the total difference in hours is (x + 4) - (x - 6) = 10

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