Question

Daniel and Saquon are each saving money. Daniel starts with $50 in his savings account and adds $8 per week. Saquon starts with $65 in his savings account and adds $5 each week.

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

Answer 1

1. Sequon has more money after 4 weeks.
2. It would take 5 weeks for their savings accounts to be equal.

Explanation:

Daniel

Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:

= 50 + 8x

The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.

After 4 weeks he would have:

= 50 + (8 * 4)

= 50 + 32

= $82

Saquon

Applying the same formula:

= 65 + 5x

After 4 weeks:

= 65 + (5 * 4)

= 65 + 20

= $85

Saquon has more money after 4 weeks.

Number of weeks it would take for both of them to have the same amount.

To find this out, equate both formulas and solve for x.

50 + 8x = 65 + 5x

8x - 5x = 65 - 50

3x = 15

x = 15/3

x = 5 weeks

At 5 weeks they will both have:

50 + 8 * 5 = $90

65 + 5 * 5 = $90