Question

Manuel and Felicia are comparing how much

money they have
• Manuel has $250.
• He saves $150 per week,
• Felicia has $1,650.
• She spends $200 per week.
• Let x = the number of weeks
• Let y = the amount of money at the end
of the week.
Which system of equations represents this
situation?

Answer 1

• y = 250 + 150x
• y = 1650 - 200x

Explanation:

Equation for Manuel:

• y = 250 + 150x

Equation for Felicia:

• y = 1650 - 200x

Solving we get:

• 250 + 150x = 1650 - 200x
• 150x + 200x = 1650 - 250
• 350x = 1400
• x = 1400/350
• x = 4 weeks

and

• y = 250 + 150*4 = 250 + 600 = $850

After 4 weeks Manuel and Felicia will have equal amount of money- $850