Coin Value and Equation Problems

The video tutorial explains how to solve a problem involving a jar of coins consisting of quarters and dimes. It begins by setting up expressions for the number of quarters and dimes, then formulates a value equation to find the number of quarters. The solution is verified by checking the total value of the coins, ensuring the calculations are correct.

What is the total number of coins in the jar?

• 50

• 56

• 54

• 52

If x represents the number of quarters, how can we express the number of dimes?

• 52 - x

• x - 52

• 52 + x

• x + 52

What is the value of the coins in cents?

• 1100

• 1000

• 1050

• 1075

What is the first step in solving the equation for x?

• Combine like terms

• Add 520 to both sides

• Distribute 10 on the left

• Subtract 520 from both sides

After combining like terms, what is the simplified equation?

• 15x + 520 = 1075

• 10x + 520 = 1075

• 15x - 520 = 1075

• 25x + 520 = 1075

How many quarters are in the jar?

• 38

• 37

• 36

• 35

What is the number of dimes in the jar?

• 17

• 16

• 15

• 18

What is the total value of 37 quarters in cents?

• 92.5

• 92500

• 9250

• 925

What is the total value of 15 dimes in cents?

• 1500

• 150

• 15

• 1.5

What is the final step to verify the solution?

• Check the total number of coins

• Check the total value of coins

• Check the number of quarters

• Check the number of dimes