At the deli Jennifer bought spicy turkey and provolone...

At the deli Jennifer bought spicy turkey and provolone cheese. The turkey costs $\$ 6.32$ per pound and the cheese costs $\$ 4.27$ per pound. In total, she bought 3.2 pounds and the price was $\$ 17.56 .$ How many pounds of each did she buy?

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Unit Price and Cost Calculation

Here, each item is associated with a unit price, allowing one to compute the total cost by multiplying the price per unit by the quantity purchased. This concept is essential in many real-world applications, such as budgeting or mixture problems, where individual costs aggregate to a total cost.

Translating Word Problems into Mathematical Equations

Solving this problem requires parsing the language of the real-world context into mathematical terms. This involves identifying unknown quantities, assigning variables, and constructing equations that reflect relationships like total weight and overall cost, a key skill in algebra.

Systems of Linear Equations

This problem involves establishing a system of linear equations where one equation represents a relationship for the total weight and another represents the total cost. Solving such systems is a fundamental algebraic technique for finding the values of unknown variables that satisfy both equations simultaneously.

Transcript

Please give Ace some feedback