Coin Value and Equation Solving

The video tutorial explains how to solve a problem involving a bag containing an equal number of pennies, nickels, and dimes with a total value of $2.24. The instructor sets up the problem by defining a variable for the number of each type of coin and reviews the value of each coin in both cents and dollars. The importance of using consistent units is emphasized, and the equation is set up using cents to avoid decimals. The instructor then solves the equation by combining like terms and dividing to find that there are 14 of each type of coin, resulting in a total value of $2.24.

What is the total value of the coins in the bag?

• $3.24

• $2.24

• $1.24

• $4.24

If x represents the number of each type of coin, what is the value of a penny in dollars?

• 0.25 dollars

• 0.10 dollars

• 0.05 dollars

• 0.01 dollars

What is the value of a nickel in cents?

• 5 cents

• 1 cent

• 25 cents

• 10 cents

Why is it important to use the same units when writing the equation?

• To make the equation longer

• To use more decimals

• To avoid confusion and ensure accuracy

• To make the equation more complex

What is the total value in cents that the equation must equal?

• 424 cents

• 324 cents

• 224 cents

• 124 cents

What is the equation formed to represent the total value of the coins?

• 1x + 5x + 10x = 224

• 1x + 5x + 10x = 124

• 1x + 5x + 10x = 324

• 1x + 5x + 10x = 424

How do you solve for x in the equation 16x = 224?

• Multiply both sides by 16

• Add 16 to both sides

• Divide both sides by 16

• Subtract 16 from both sides

What is the value of x after solving the equation?

• 15

• 14

• 13

• 12

How many pennies are in the bag?

• 15

• 13

• 12

• 14

What is the total number of coins in the bag?

• 56

• 42

• 28

• 70