Question

Write and solve a real-world problem that can be modeled by the equation 0.75x-18.50=0.65x

Answer 1

The equation 0.75x - 18.50 = 0.65x models a real-world scenario of a T-shirt sale with a 25% discount. To solve for x, representing the original price, subtract 0.65x from both sides, add 18.50, and divide by 0.10. The original price of the T-shirt was 185 dollars.

Step-by-step explanation:

Real-World Problem Example:

Let's consider a scenario where a shop is selling T-shirts and has a sale. The original price of the T-shirt is lowered by 18.50 dollars to encourage sales. The discount is 25% off the original price. The equation 0.75x - 18.50 = 0.65x represents the situation, where x is the original price of the T-shirt.

Step-by-Step Solution

First, subtract 0.65x from both sides of the equation:

0.75x - 18.50 - 0.65x = 0.65x - 0.65x

0.10x - 18.50 = 0

Next, add 18.50 to both sides:

0.10x = 18.50

Then, divide both sides by 0.10 to solve for x:

x = 18.50 / 0.10

x = 185

Therefore, the original price of the T-shirt was 185 dollars.

Answer 2

Diana had chocolate, and ate some, leaving 0.75 of it for Sarah.

Sarah ate 18.5 grams of it and return the rest to Diana, which was 65% of the original chococate.

how much chocolate did Diana have at the beginning?

and the solution is:

0.75x-18.50=0.65x

0.75x-0.65x=18.50
0.1x=18.50
x=185

so Diana had 185 grams of chocolate.