Quandaries and Queries
 

 

I'm needing help writing an equation for a story problem (7th grade math). The problem is this: A man's electric bill is $23 less than his gas bill. The two utilities cost him a total of $109. Find the amount of his gas bill. I can't put this into an equation form for my daughter. HELP!
 

 

Hi Richie,

You need to decide what quantity is going to be the variable in your equation. Read the first sentence in the problem.

A man's electric bill is $23 less than his gas bill.

If you knew the amount of the gas bill, you would know the amount of the electric bill, it is $23 less.

Let G be the amount of the gas bill

then

the electric bill is G - 23.

Now read the second sentence

The two utilities cost him a total of $109.

That is

G + (G - 23) = 109

Penny