High School

Tyrell has a box of colored pencils. He uses 65 pencils and has 114 pencils left in the box. Write an equation showing how many pencils are in the box before he starts drawing.

A. [tex]p - 65 = 114[/tex]
B. [tex]p = 114 - 65[/tex]
C. [tex]65 + p = 114[/tex]
D. [tex]114 + p = 65[/tex]

Answer :

Certainly! To find how many pencils were in the box initially, let's set up and solve an equation based on the information given:

1. Understand the Problem:
Tyrell uses 65 pencils and has 114 pencils left. We need to find out how many pencils he started with.

2. Set Up the Equation:
- Let [tex]\( p \)[/tex] represent the total number of pencils he initially had.
- After using 65 pencils, he still has 114 left.

3. Write the Equation:
The situation can be described with the equation:
[tex]\( p - 65 = 114 \)[/tex]

4. Solve for [tex]\( p \)[/tex]:
- To isolate [tex]\( p \)[/tex], add 65 to both sides of the equation:
[tex]\( p - 65 + 65 = 114 + 65 \)[/tex]
- This simplifies to:
[tex]\( p = 179 \)[/tex]

5. Conclusion:
Tyrell had 179 pencils in the box before he started drawing.

This step-by-step process shows that the initial number of pencils was 179.

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