Question

AIV2. Keith has $708 in a savings account at the beginning of summer. He wants to have atleast $350 in the account by the end of summer. He withdraws $28 each week for food,clothes, and movie tickets. How many weeks can Keith withdraw money from his account

Answer 1

Keith can withdraw money from his account for 12 weeks

Step-by-step explanation:

Amount in savings = $708

at least $350 in the account by the end of summer: ≥350

Let the amount withdrawn from the savings = x

The equation for the amount remaining at the end of the summer:

708 - x ≥350

-x ≥350 - 708

-x ≥ -358

Divide through by -1: (sign changes because we divided by a negative number)

x ≤ 358 (amount he can spend out of the account)

Let the number of weeks he withdraws = y

Amount withdrawn per week = $28

28 * y ≤ 358

28y ≤ 358

Divide through by 28:

y ≤ 358/28

y ≤ 12.8 (approximately 13)

Number of weeks = y is less than or equal to 13

If number of weks = 13

708 -(28 * 13 weeks) = 708-364 = 344

344 < 350

13 weeks won't work because he has to have atleast 350 in the account.

708 - (28*12) = 708 - 336 = 372

372 > 350

Therefore, Keith can withdraw money from his account for 12 weeks