SOLUTION: Kato rode his bike 98 miles last week. That is two fewer than four times the number of miles Dave rode. How many miles did Dave ride

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Question 978061: Kato rode his bike 98 miles last week. That is two fewer than four times the number of miles Dave rode. How many miles did Dave ride
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Kato rode his bike 98 miles last week. That is two fewer than four times the number of miles Dave rode. How many miles did Dave ride.
Let's break that down:

Kato rode his bike 98 miles last week. That...
The word "That" means 
1. "98 miles"

is...
The word "is" means 
2. "equals" 

two fewer than...
The words "two fewer than" means 
3. "subtract 2"

four times...
The words "four times" means 
4. "multiply by 4"

the number of miles Dave rode. How many miles did Dave ride?
The question asks for the unknown. So let the number of miles 
that Dave rode be the unknown letter 
5. "x" 

Now to get the equation, start with number 5 and go backwards:

5. x
4. "multiply by 4".  So we have 4x
3. "subtract 2".     So we have 4x-2
2. "equals".         So we have 4x-2 =   
1. "98 miles".       So we have 4x-2 = 98

So the equation is 4x-2 = 98

You can finish now, right?  So I'll stop here.

This demonstrates one trick in getting some word problems to an equation -- 
the trick of 'going backwards'!.

Edwin

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