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

Question

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

Answer 1

1. After four weeks, Andre will have $100 + ($5 * 4) = $100 + $20 = $120 in his savings account.
Elena will have $10 + ($20 * 4) = $10 + $80 = $90 in her savings account.

Therefore, after four weeks, Andre will have more money in his savings account than Elena.

2. We can set up an equation to find out when Andre and Elena will have the same amount of money in their savings accounts:

$100 + ($5 * w) = $10 + ($20 * w)

Where w represents the number of weeks.

Simplifying the equation:

$100 + $5w = $10 + $20w

Rearranging the terms:

$100 - $10 = $20w - $5w

$90 = $15w

Dividing both sides by $15:

w = 6

Therefore, after 6 weeks, Andre and Elena will have the same amount of money in their savings accounts.