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?
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.
Solution
Solution Steps
To find the price of the gift before the delivery charge, we can set up a linear equation. Let 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. Simplifying, we get 1.19x=20.23. We can solve this equation for x to find the price of the gift.
Step 1: Set Up the Equation
Let x be the price of the gift. The total cost, including a 19% delivery charge, can be expressed as:
x+0.19x=20.23
This simplifies to:
1.19x=20.23
Step 2: Solve for x
To find the price of the gift, we divide both sides of the equation by 1.19:
x=1.1920.23
Calculating this gives:
x=17.0