Question

Manuel and Felicia are comparing how much money they have. Manuel has $250 and he saves $150 per week. Felicia has $1,650 and she spends $200 per week. At the end of which week do they have the same amount of money?

Answer 1

Let n be the number of week

At nth week, Manuel has 250 + 150n

At nth week Felicia has 1650 - 200n

For them to have same amount, then;

250+150n = 1650 - 200n

Collect like term

150n + 200n = 1650 - 250

350n = 1400

Divide both-side of the equation by 350

n = 4

Therefore, they will have the same amount at the end of 4th week.