Question

A 15% discount saves you $5 off the price of an electronic game. How much do you save off the regular price if the discount is raised to 45%? Show all of your work.

Answer 1

Let's use algebra to solve the problem.

Let x be the regular price of the electronic game.

If a 15% discount saves you $5 off the regular price, then we can write an equation:

0.15x = 5

Solving for x, we get:

x = 5 / 0.15

x = 33.33

Therefore, the regular price of the electronic game is $33.33.

Now, if the discount is raised to 45%, then the new price of the electronic game is:

new price = regular price - discount amount

new price = x - 0.45x

new price = 0.55x

We know that the new discount saves us some amount y off the regular price, so we can write another equation:

0.45x = y

Solving for y, we get:

y = 0.45x

Substituting 0.55x for the new price in the equation above, we get:

y = 0.45(0.55x)

y = 0.2475x

Therefore, the new discount saves us $8.25 off the regular price:

y = 0.2475x = 0.2475(33.33) = 8.25

So, if the discount is raised to 45%, we save $8.25 off the regular price.

Answer 2

with a 45% discount, you would save approximately $15 off the regular price.

Let's denote the regular price of the electronic game as P.

We are given that a 15% discount saves $5, so we can write this as:

0.15 * P = $5

Now we want to find out how much we save if the discount is raised to 45%. First, let's find the regular price (P) by solving the equation:

P = $5 / 0.15

P = $33.33 (approximated to 2 decimal places)

Now that we know the regular price, we can find out how much we save with a 45% discount:

0.45 * P = 0.45 * $33.33 ≈ $15