Solving for W in Equations

The video tutorial explains how One and Madison plan to equalize their savings by adding a fixed amount weekly. It introduces an equation to determine when their savings will be equal and demonstrates solving the equation step-by-step. The solution reveals that it will take 26 weeks for their savings to match, allowing them to proceed with their road trip plan.

What is the initial amount in savings for the first individual?

• $40

• $50

• $400

• $140

How much does Madison plan to add to her savings each week?

• $30

• $20

• $40

• $50

What does the variable W represent in the equation?

• Total savings

• Initial savings

• Number of weeks

• Weekly savings

What is the first step in solving the equation 50W + 140 = 40W + 400?

• Subtract 40W from both sides

• Divide both sides by 10

• Add 40W to both sides

• Multiply both sides by 10

After subtracting 40W from both sides, what is the resulting equation?

• W = 26

• 10W = 260

• 50W = 400

• 10W + 140 = 400

What operation is performed to isolate the W term after simplifying to 10W + 140 = 400?

• Add 140 to both sides

• Subtract 140 from both sides

• Multiply by 10

• Divide by 10

What is the value of W after solving the equation 10W = 260?

• 26

• 140

• 10

• 260

How many weeks will it take for both individuals to have the same amount in savings?

• 20 weeks

• 26 weeks

• 40 weeks

• 30 weeks

What is the final step in solving the equation for W?

• Divide both sides by 10

• Multiply both sides by 10

• Subtract 10 from both sides

• Add 10 to both sides