Luke sells pins for $4 each and rings for $6 each. Complete the equation which determines the number of pins x and the number of rings y he must sell to make $40. **Problem Statement:**Luke sells pins for $4 each and rings for $6 each. Complete the equation which determines the number of pins $ x $ and the number of rings $ y $ he must sell to make $40.**Equation Structure:**The equation is presented in the form:\[ \text{(Choose...)} \times x + \text{(Choose...)} \times y = 40 \]- The first drop-down menu should be filled with the value 4 (cost of each pin).- The second drop-down menu should be filled with the value 6 (cost of each ring).**Complete Equation:**\[ 4x + 6y = 40 \]**Instructions:**1. Select "4" from the first drop-down to represent the price of each pin.2. Select "6" from the second drop-down to represent the price of each ring.3. Ensure the total sales amount equals $40.This setup allows students to understand how to construct a linear equation based on a word problem involving purchasing quantities and pricing.

Given, Luke sells pins for $4 each and rings for $6 each To make $40, let the number of pins sold be…

Answered: Luke sells pins for $4 each and rings…

Luke sells pins for $4 each and rings for $6 each. Complete the equation which determines the number of pins x and the number of rings y he must sell to make $40.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Luke sells pins for $4 each and rings for $6 each. Complete the equation which determines the number of pins x and the number of rings y he must sell to make $40.

**Problem Statement:**

Luke sells pins for $4 each and rings for $6 each. Complete the equation which determines the number of pins $ x $ and the number of rings $ y $ he must sell to make $40.

**Equation Structure:**

The equation is presented in the form:
\[ \text{(Choose...)} \times x + \text{(Choose...)} \times y = 40 \]

- The first drop-down menu should be filled with the value 4 (cost of each pin).
- The second drop-down menu should be filled with the value 6 (cost of each ring).

**Complete Equation:**

\[ 4x + 6y = 40 \]

**Instructions:**

1. Select "4" from the first drop-down to represent the price of each pin.
2. Select "6" from the second drop-down to represent the price of each ring.
3. Ensure the total sales amount equals $40.

This setup allows students to understand how to construct a linear equation based on a word problem involving purchasing quantities and pricing.

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