Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?

We want to write an equation for the amount of money that she uses on recreational activities.

The equation is: r(x) = (1/3)*(x - $1,425).

We know that her total monthly budget is x dollars.

She spends $1,425 on her mortgage.

So the remaining budget is (x - $1,425).

We know that she uses one-third of it on recreational activities, then the equation we want is just:

r(x) = (1/3)*(x - $1,425).

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$(x - 1425)/3

Step-by-step explanation:

Let total monthly budget be x

Amount spent on mortgage = $1425

Remaining balance after spending on mortgage = x - $1425

Amount spent on recreational activities = one-third of the balance

Expressing amount spent on recreational activities as an equation will give;

Amount spent on recreational activities = 1/3 of x - $1425

= 1/3 × ( x - $1425)

= ( x - $1425)/3

Hence the required equation is;

R = $(x - 1425)/3

R means recreational activities

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