Solving Coin Word Problems

This video tutorial covers solving coin word problems using systems of linear equations. It demonstrates two problems: one involving nickels and dimes, and another with dimes and quarters. The first problem is solved using substitution, while the second employs elimination. The tutorial provides a detailed walkthrough of setting up equations based on the quantity and value of coins, and solving them to find the number of each type of coin.

What is the primary method used to solve coin word problems in this video?

• Trial and error

• Quadratic equations

• System of linear equations

• Graphical method

What is the first step in solving a coin word problem?

• Use a calculator

• Count the coins

• Set up a system of equations

• Guess the number of coins

In the first problem, what is the total value of coins Sandy has?

• $3.65

• $4.00

• $2.50

• $5.00

In the first problem, what does the equation 0.05n + 0.10d = 3.65 represent?

• The number of nickels

• The difference in number of coins

• The total value of coins

• The total number of coins

How much more are the nickels than the dimes in the first problem?

• 20

• 10

• 15

• 13

What is the value of a nickel used in the equations?

• $0.01

• $0.25

• $0.05

• $0.10

What does the term 'exceeds' imply in the context of the first problem?

• Greater than

• Approximately

• Equal to

• Less than

In the first problem, what is the equation for the number of nickels?

• n = d + 10

• n = d + 13

• n = d - 13

• n = d - 10

What method is used to solve the system of equations in the first problem?

• Matrix method

• Elimination

• Graphing

• Substitution

How many dimes does Sandy have in the first problem?

• 20

• 33

• 13

• 25