Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Two coworkers picked up some writing instruments at the office supply store. Pablo selected 4 boxes of pencils and 1 box of ballploint pens, paying $10. Next, Julie spent $24 on 5 boxes of pencils and 7 boxes of ballpoint pens. How much does a box of each cost? A box of pencils costs $ and a box of pens costs $

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Two coworkers picked up some writing instruments at the office supply store. Pablo selected 4 boxes of pencils and 1 box of ballploint pens, paying $10. Next, Julie spent $24 on 5 boxes of pencils and 7 boxes of ballpoint pens. How much does a box of each cost? A box of pencils costs $ and a box of pens costs $

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.2: Solve Applications With Systems Of Equations

Problem 4.32TI: Translate to a system of equations and then solve: Erin spent 30 minutes on the rowing machine and...

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Question

### Algebra 2: Solving a System of Equations

**Instructions:**

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

**Problem:**

Two coworkers picked up some writing instruments at the office supply store. Pablo selected 4 boxes of pencils and 1 box of ballpoint pens, paying $10. Next, Julie spent $24 on 5 boxes of pencils and 7 boxes of ballpoint pens. How much does a box of each cost?

**Equations to Solve:**

1. $ 4x + 1y = 10 $ (Pablo's purchase)
2. $ 5x + 7y = 24 $ (Julie's purchase)

Where:
- $ x $ is the cost of a box of pencils
- $ y $ is the cost of a box of pens

**Solution:**

A box of pencils costs $___, and a box of pens costs $___.

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**Note:** Use any algebraic method such as substitution or elimination to find the values of $ x $ and $ y $.

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