Question

DRAWING PORTRATTS In Exercises \(52-54\), you are earning extra money drawing sketches for your friends and family. You receive \(\$ 12\) per sketch. Your expenses for art supplies are \(\$ 50\). How many framed sketches do you have to sell in order for your income to equal your expenses?

Short answer

You need to sell 5 framed sketches to equal your expenses.

Step-by-step solution

Identify known quantities

From the problem, we can identify that the price per sketch is $12 and the total expenses is $50.

Set up the equation

The income equals the expenses, so we can write: 12 * Number of sketches = 50.

Solve for unknown

Divide both sides of the equation by 12 to isolate the number of sketches. So the equation becomes Number of sketches = 50 / 12.

Solve and Round Up

When we solve the equation, we get approximately 4.16. However, since we cannot sell a fraction of a sketch, we must round up to the nearest whole number, which is 5.