Question

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.

After four weeks, who has more money in their savings account? Explain how you know.
After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

Answer 1

Andre has more money in his savings account.

Explanation:

We need to have equations for both Andre and Elena. Andre starts with $100 in his savings and adds $5 per week. Based on this, Andre's equation will be y = 5x + 100. Elena starts with $10 and adds $20 per week. Based on this, Elena's equation will be y = 20x + 10.

Andre: y = 5x + 100

Elena: y = 20x + 10

We have to figure out who will have more money in their account after 4 weeks. To do that, we plug in 4 into x because x is the number of weeks.

Andre: y = 5(4) + 100

y = 20 + 100

y = 120

Andre has $120 after 4 weeks.

Elena: y = 20(4) + 10

y = 80 + 10

y = 90

Elena has $90 after 4 weeks.

Which is greater? $120 or $90? That's right, its $120. Andre has more money in his savings account. I hope this helps!