Q10. - Algebra 1

Question

Miguel wants to paint a house. The charges to paint a house is \(200 and the price of a can is \)12. Write and use an equation to find how many cans of paint Miguel needs for a $260 job.

Step-by-Step Solution

Answer

A total number of cans = 5.

Step 1. Given information.

The total amount earned by Miguel is $260.

Charges to paint a house = $200.

Price of a can = $12.

Step 2. Write the equation.

Consider the number of can be n.

The equation can be written as:

 $12n+200=260$

Step 3. Solve the equation.

The equation $12n+200=260$ can be written as in below:

$12n=260-200$

Then,

$$\begin{gathered} 12n=60 \\ n=\frac{60}{12} \\ n=5 \end{gathered}$$

Step 4. Conclusion.

The equation is $12n+200=260$ and the total number of cans is 5.