A rental company charges $65 a day and 30 cents a mile for renting a truck. Michael rents a truck for 3 days, and his bill comes to $275. How many miles did he drive?
I can figure out that the answer is 400 miles, but I don't know how to put it in an algebraic equation form.
400 miles cannot be correct, for 30 cents times
400 miles gives $120. And $65 times 3 days gives $195.
But adding $195 + $120 gives $315, not $275.
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Just think how the total bill was figured. It was this way:
1. $65 TIMES THE NUMBER OF DAYS
PLUS
2. $0.30 TIMES THE NUMBER OF MILES
EQUALS
3. THE TOTAL BILL
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Let's look at 1. That's $65 times 3 days or $195.
Let's look at 2. We don't know the number of miles, so we let
the letter x represent this unknown number. But we can
multiply $.30 by x anyway and get $.30x
Let's look at 3. That's given as $275.
So we have
$195 PLUS $.30x EQUALS $275
or dropping the dollar signs, and using + for PLUS and =
for EQUALS:
195 + .30x = 275
Now we subtract 195 from both sides:
.30x = 80
Now we divide both sides by .30
So it's not 400 miles, it's 266.67 miles.
Edwin