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. \( p - 65 = 114 \)
B. \( p = 114 - 65 \)
C. \( 65 + p = 114 \)
D. \( 114 + p = 65 \)

Answer :

Final answer:

The equation representing how many pencils Tyrell initially had is p - 65 = 114. Solving for 'p' gives us p = 114 + 65. Therefore, Tyrell had 179 colored pencils to begin with.

Explanation:

The subject of this question is Mathematics, specifically dealing with simple algebraic equations. The question asks for the total number of colored pencils Tyrell had before he started using them. So, let's define p as the total number of pencils. Given Tyrell uses 65 pencils and still has 114 left, the equation would be p - 65 = 114.

To solve for 'p', we would add 65 to both sides of the equation. So, the next step is to write down the equation p = 114 + 65. Adding those numbers together, we get p = 179.

Therefore, Tyrell had 179 colored pencils in the box before he started drawing.

Learn more about algebraic equations here:

https://brainly.com/question/32183344

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The correct equation to find the total number of pencils in the box before Tyrell starts drawing is 65 + p = 114. By subtracting the number of pencils used from the total after use, we find that there were originally 179 pencils in the box.

The student is looking to find the equation that represents the total number of colored pencils in a box before Tyrell starts drawing, given he uses some and then has 114 left. The correct equation for this situation is adding the number of pencils used to the number of pencils left, which is represented by 65 + p = 114. To find out how many pencils were in the box originally (p), one would simply subtract 65 from 114, which means p = 114 - 65.

Here's the step-by-step calculation:

Identify the total pencils left after Tyrell used some: 114 pencils.

Add the number used by Tyrell to the remaining amount: 65 pencils used + 114 pencils left.

Combine these to form the equation, which shows the original total: 65 + p = 114.

Solve for p: p = 114 - 65, giving the result that there were originally 179 pencils in the box before Tyrell started drawing.