Question

Bill and Ted are each saving money for a trip to Europe. Bill started with $75 and saves an additional $15 per week. Ted began with $120 and saves an additional $10 per week. After how many weeks, x, will they have the same amount of money saved? Explain how you arrived at your answer.​

Answer 1

• 9 weeks

Explanation:

After x weeks Bill will save money:

• 75 + 15x

And Ted will save:

• 120 + 10x

Since they save same amount, we have equation:

• 75 + 15x = 120 + 10x
• 15x - 10x = 120 - 75
• 5x = 45
• x = 45/5
• x = 9 weeks