Harper's parents put $75 into her school lunch money account. Each meal she gets from school costs her $3.25. The school sends Harper's parent's an email when the balance reaches $19.75. Let m be the number of meals Harper has bought when they get the email.
Set up and solve an equation to find the value of m.

Respuesta :

Answer:

17

Step-by-step explanation:

To find the number of meals Harper has bought when her parents receive the email, we can set up an equation.

Let m be the number of meals Harper has bought.

Each meal costs $3.25, so the total cost of m meals is 3.25m.

Harper's parents receive the email when the balance reaches $19.75. This means that the remaining amount in Harper's account after buying m meals is $19.75.

We can set up the equation:

$75 - 3.25m = $19.75

To solve for m, we need to isolate the variable m.

First, let's subtract $19.75 from both sides of the equation:

$75 - $19.75 - 3.25m = $19.75 - $19.75

$55.25 - 3.25m = 0

Next, let's subtract $55.25 from both sides of the equation:

$55.25 - $55.25 - 3.25m = $0 - $55.25

-3.25m = -$55.25

To solve for m, we need to divide both sides of the equation by -3.25:

(-3.25m) / -3.25 = (-$55.25) / -3.25

m = 17

Therefore, when Harper's parents receive the email, Harper has bought 17 meals.