Question

Liz paid $42 for a new bike. This was 35% of the original price. What was the original price of the bike?

Answer 1

To find the original price of the bike, set up an equation using the given information and solve for the unknown variable. The original price of the bike is $120.

Step-by-step explanation:

To find the original price of the bike, we can set up an equation using the given information.

Let's assume the original price of the bike is 'x' dollars.

According to the problem, Liz paid 35% of the original price, which is equal to $42.

So, we can write the equation as: 35% of x = $42.

To solve the equation, we need to find the value of x. We can start by converting 35% to a decimal by dividing it by 100: 35/100 = 0.35.

Now, we can rewrite the equation as: 0.35x = $42.

To isolate x, we divide both sides of the equation by 0.35: x = $42 / 0.35.

Using a calculator, we find that the original price of the bike is $120.