Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $43 and straight leg jeans for $57. If customer's bought 2 times more bootcut than straight leg jeans and last month's sales totaled $3,718, how many of each pair of jeans were sold? Number of jeans sold Bootcut Straight Leg
Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $43 and straight leg jeans for $57. If customer's bought 2 times more bootcut than straight leg jeans and last month's sales totaled $3,718, how many of each pair of jeans were sold? Number of jeans sold Bootcut Straight Leg
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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![**Problem Statement:**
Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $43 and straight leg jeans for $57. If customers bought 2 times more bootcut than straight leg jeans and last month's sales totaled $3,718, how many of each pair of jeans were sold?
**Diagram/Table Explanation:**
There is a table with two columns, each labeled for the type of jeans:
- Bootcut
- Straight Leg
Each row in the table is intended to record the number of jeans sold of each type.
To solve this problem, you can set up the following algebraic equations:
Let \( x \) be the number of straight leg jeans sold.
Then, \( 2x \) would be the number of bootcut jeans sold.
The equation based on the total sales is:
\[ 43(2x) + 57(x) = 3,718 \]
\[ 86x + 57x = 3,718 \]
\[ 143x = 3,718 \]
Solve for \( x \) to find the number of straight leg jeans sold:
\[ x = \frac{3,718}{143} \]
Calculate \( x \) and then \( 2x \) to determine the sales for each type of jeans.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09ab0ebb-fdaf-41e3-aaf8-459466f4da3e%2F6d114ff5-c288-4369-91e0-b0a4a542fc32%2Frvjjjc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $43 and straight leg jeans for $57. If customers bought 2 times more bootcut than straight leg jeans and last month's sales totaled $3,718, how many of each pair of jeans were sold?
**Diagram/Table Explanation:**
There is a table with two columns, each labeled for the type of jeans:
- Bootcut
- Straight Leg
Each row in the table is intended to record the number of jeans sold of each type.
To solve this problem, you can set up the following algebraic equations:
Let \( x \) be the number of straight leg jeans sold.
Then, \( 2x \) would be the number of bootcut jeans sold.
The equation based on the total sales is:
\[ 43(2x) + 57(x) = 3,718 \]
\[ 86x + 57x = 3,718 \]
\[ 143x = 3,718 \]
Solve for \( x \) to find the number of straight leg jeans sold:
\[ x = \frac{3,718}{143} \]
Calculate \( x \) and then \( 2x \) to determine the sales for each type of jeans.
Expert Solution
Step 1
Given that price of bootcut jeans = $43
the price of straight-leg jeans = $57
Step by step
Solved in 4 steps
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