Question

Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more quickly, Benito has decided to add $1.00 per day to the amount Juan owes him. Juan also owes his brother, Tavon, $15.00. Tavon liked Benito's idea of charging additional money, but because he is Juan's brother, decided he would only charge $.50 per day. Write and solve an equation that shows the number of days it will take for Juan to owe Benito and Tavon the same amount of money

Answer 1

Equation: 10+x= 15 +0.5x

Time: 10 days

Amount: 20$

Explanation:

Equation for Benito:

• 10 + x*1

Equation for Tavon:

• 15 + x*0.5

Since the sums equalize at some time, we get:

• 10+x= 15 +0.5x
• x - 05x = 15- 10
• 0.5x = 5
• x= 5/0.5
• x= 10 days

After 10 days, Juan will owe both Benito and Tavon $20