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July 26, 2014

July 26, 2014

Posted by **marko** on Tuesday, October 18, 2011 at 8:28pm.

would i write: i know i have to divide 324 / 27 = 12

but im not sure how to write out for algebra using a variable.

g/27 = 324

27 *g/27 = 324/27

g= 12 gallons. is that right?

2) a local park rents paddle boats for $5.50 per hour. you have $22.00 to spend. How many hours can you rent a boat? 22.00 / 5.50 is : 4 hrs

do i write it as:

h/5.50 = 22.00

5.50 * h/5.50 = 22.00 / 5.50

h = 4

is that right?

3) a video store charges $2.75 per day for overdue videos. You owe a late fee of $13.75. How many days overdue is the video?

i wrote: v/2.75 = 13.75

2.75 * v/2.75 = 13.75/2.75

v= 5 days late.

is this ok?

- algEBRA word problem -
**Steve**, Tuesday, October 18, 2011 at 10:49pmIf you're confused over what to divide or multiply, keep the units with the numbers. As you work, try to cancel out the units you don't want.

For example, in the first problem, you have a consumption rate: 27mi/1gal

That fraction is essentially 1. Every 27 miles equals 1 gallon.

You also have 324 mi

You want to convert miles to gallons

You can always multiply by 1 without changing anything:

324mi * 1gal/27mi = 324/27 gal

See how the miles cancel out, leaving just the gallons?

Now you got the right answer, but look at your equation:

g/27 = 324

If you work that out, you get g=27*324

What you need is g * 27 = 324

That is, the number of gallons * the miles/gallon yields the miles traveled. You know this value, but had trouble with the equation. Take a look. On the left you multiplied by 27, but on the right you divided by 27. To manipulate an equation, you need to do the same thing to both sides.

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