Kesha has a total of 100 coins, all of which are either...

Kesha has a total of 100 coins, all of which are either dimes or quarters. The total value of the coins is $\$ 13.00$. Find the number of each type of coin.
a. 80 dimes; 20 quarters
b. 20 dimes; 44 quarters
c. 60 dimes; 40 quarters

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

Systems of Linear Equations

This concept involves setting up and solving two or more equations simultaneously. In problems where there are multiple unknowns constrained by relationships such as total count and total value, forming a system of linear equations allows for a structured approach to find the values of each variable.

Translating Word Problems into Equations

This key concept requires interpreting real-world situations and converting the information into mathematical expressions. It involves identifying unknown quantities, establishing relationships between them based on provided conditions, and constructing equations that accurately represent the scenario.

Substitution Method

The substitution method is used to solve systems of equations by isolating one variable in one equation and then replacing that variable in another equation. This simplifies the system into a single equation with one unknown, making it easier to solve and interpret within the context of the problem.

Transcript

Please give Ace some feedback