Question

Andre and Alina are each saving money. Andre starts with $100 in a savings account and adds five dollars per week Elena starts with $10 in her savings account and add $20 each week after how many weeks for Andre and Elena have the same amount of money in their savings account

Answer 1

6 weeks

Explanation:

From the question:

Let us represent the number of weeks as x

Andre and Alina are each saving money.

For Andre:

Andre starts with $100 in a savings account and adds five dollars per week

$100 + $5 × x

= 100 + 5x

For Elena

Elena starts with $10 in her savings account and add $20 each week

$10 + $20 ×x

= 10 + 20x

The next step is to equate both algebraic expression for Andre and Elena together

Hence:

100 + 5x = 10 + 20x

Collect like terms

100 - 10 = 20x - 5x

90 = 15x

x = 90/15

x = 6 weeks

Hence, after 6 weeks Andre and Elena would have the same amount of money in their savings account.