# Algebra Problem with fraction, help please.

#### Danny

##### New member
Do the following problem in two different ways, one should be pictorial and the other should be algebraic, using one variable. Then, make connections between these two representations.

Greg spends one-fourth of his take-home pay on his mortgage and property taxes. Out of the remaining money he again spends one-fourth on food and clothes. From the money left over after these expenses, he puts one-fifth into savings. What fractonal part of his take-home pay does he have left?

#### tkhunny

##### Moderator
Staff member
Danny said:
Do the following problem in two different ways, one should be pictorial and the other should be algebraic, using one variable. Then, make connections between these two representations.

Greg spends one-fourth of his take-home pay on his mortgage and property taxes. Out of the remaining money he again spends one-fourth on food and clothes. From the money left over after these expenses, he puts one-fifth into savings. What fractonal part of his take-home pay does he have left?
Have you yet followed Rule #1? Well, this is one case where it may not quite be the very best thing to do. However, name something. Then we can talk about it.

P = Greg's Take-home Pay

Taxes = P*(1/4)

Amount Remaining = P - Taxes = P - P(1/4) = P(3/4)

Where do you think we should go from here? One way to go might be one step at a time.