Questions: The price of a gift plus a 19% delivery charge comes to a total cost of 20.23. What was the price of the gift?

The price of a gift plus a 19% delivery charge comes to a total cost of 20.23. What was the price of the gift?
Transcript text: The price of a gift plus a $19 \%$ delivery charge comes to a total cost of $\$ 20.23$. What was the price of the gift? Step 1 of 2: Describe the above situation as a linear equation using " $x$ " or " $y^{\prime \prime}$ as variable names to describe the unknowns.
failed

Solution

failed
failed

Solution Steps

To find the price of the gift before the delivery charge, we can set up a linear equation. Let x x be the price of the gift. The total cost is the price of the gift plus 19% of the gift price as the delivery charge. This can be expressed as x+0.19x=20.23 x + 0.19x = 20.23 . Simplifying, we get 1.19x=20.23 1.19x = 20.23 . We can solve this equation for x x to find the price of the gift.

Step 1: Set Up the Equation

Let x x be the price of the gift. The total cost, including a 19% delivery charge, can be expressed as: x+0.19x=20.23 x + 0.19x = 20.23 This simplifies to: 1.19x=20.23 1.19x = 20.23

Step 2: Solve for x x

To find the price of the gift, we divide both sides of the equation by 1.19 1.19 : x=20.231.19 x = \frac{20.23}{1.19} Calculating this gives: x=17.0 x = 17.0

Final Answer

The price of the gift is \\(\boxed{x = 17.0}\\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful