Solving Equations and Stock Values

The video tutorial explains how to solve a problem involving Delaney's stock shares. Delaney has $830 worth of $10 and $14 stock shares, with the number of $14 shares being five more than twice the number of $10 shares. The tutorial guides viewers through setting up expressions for the shares, formulating a value equation, and solving for the number of shares. The solution is verified by checking the total value of the shares.

What is the total value of Delaney's stock shares?

• $1000

• $900

• $750

• $830

If x represents the number of $10 shares, how can the number of $14 shares be expressed?

• 3x + 5

• 2x + 5

• x - 5

• x + 5

What is the value equation used to solve the problem?

• 14x + 10 = 830

• 10x + 14(2x + 5) = 830

• 10x + 14x = 830

• 10x + 5 = 830

What is the first step in solving the equation 10x + 14(2x + 5) = 830?

• Subtract 70 from both sides

• Divide by 38

• Add 70 to both sides

• Distribute 14

After distributing, what is the equation simplified to?

• 10x + 28x = 830

• 28x + 70 = 830

• 38x + 70 = 830

• 38x = 760

What is the value of x after solving the equation?

• 30

• 15

• 20

• 25

How many $10 shares does Delaney have?

• 15

• 20

• 25

• 30

How many $14 shares does Delaney have?

• 55

• 45

• 40

• 50

What is the total value of the $10 shares?

• $200

• $300

• $500

• $400

What is the total value of the $14 shares?

• $770

• $700

• $630

• $840