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.
QUESTION: After how many weeks will Daniel and Saquon have the same amount of money in their savings account?
It would take 5 weeks for their savings accounts to be equal.
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
