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Word Problems: Define your variable, write and solve the equation. 9. You have $75 to spend at the grocery store. You get $23 in change. How much money do you spend? Define your variable: Equation: Answer:

Respuesta :

ANSWER

Variable : how much money was spent (x)

Equation: x + 23 = 75

Answer: $52

EXPLANATION

Let the variable (amount of money spent) be x.

Initially, you had $75 and you spend some money (x) and you are left with $23 in change.

This means that the sum of the money you spent and the change you received is $75.

That is:

x + 23 = 75

That is the equation.

To find how much money you spent, we have to find the value of x by collecting like terms:

=> x = 75 - 23

x = $52

You spent $52.