High School

Write and solve an equation where the cost [tex] x [/tex] divided by 4 equals $15.

1. Identify the variable:
- Let [tex] x [/tex] represent the total cost.

2. Equation:
\[
\frac{x}{4} = 15
\]

3. Work:
- Multiply both sides by 4 to solve for [tex] x [/tex]:
\[
x = 15 \times 4
\]

4. Solution:
\[
x = 60
\]

5. Check:
- Substitute [tex] x = 60 [/tex] back into the equation:
\[
\frac{60}{4} = 15
\]
- The equation holds true, confirming the solution is correct.

Answer :

Here's how you can solve the problem step by step:

1. Identify the Variable:
- Let [tex]\( x \)[/tex] be the cost in dollars.

2. Write the Equation:
- According to the problem, the cost [tex]\( x \)[/tex] divided by 4 equals [tex]$15. This can be written as:
\[
\frac{x}{4} = 15
\]

3. Solve the Equation:
- To solve for \( x \), multiply both sides of the equation by 4 to get rid of the division:
\[
x = 15 \times 4
\]
- So, \( x = 60 \).

4. Check the Solution:
- To ensure the solution is correct, substitute \( x = 60 \) back into the original equation:
\[
\frac{60}{4} = 15
\]
- Since this statement is true, the solution is verified.

Therefore, the cost \( x \) is $[/tex]60.