Coin Value and Equation Problems

The video tutorial explains how to solve a problem involving a woman with 21 coins, consisting of dimes and quarters, totaling $3.90. It demonstrates setting up a system of equations, assigning variables, and using the elimination method to find the number of each type of coin. The solution is verified graphically, confirming the results.

What is the total number of coins the woman has?

• 15

• 21

• 30

• 25

What is the total value of the coins in the woman's pocket?

• $4.50

• $3.90

• $3.00

• $2.50

Which variable is assigned to represent the number of dimes?

• X

• Y

• Z

• W

What is the equation representing the total number of coins?

• X - Y = 390

• X + Y = 390

• X - Y = 21

• X + Y = 21

What is the value equation in cents for the coins?

• 25X + 10Y = 390

• 10X + 25Y = 390

• 10X + 25Y = 21

• 25X + 10Y = 21

How many quarters does the woman have?

• 9

• 10

• 12

• 11

After finding the number of quarters, what is the next step?

• Recalculate the equations

• Check the total value

• Find the number of dimes

• Verify graphically

How many dimes does the woman have?

• 7

• 8

• 9

• 10

What method is used to verify the solution graphically?

• Creating a bar graph

• Drawing a pie chart

• Using a calculator

• Plotting the equations

What does the point of intersection represent in the graphical method?

• The number of quarters

• The solution to the equations

• The total value

• The number of dimes