Question

Mr. Green bought 5 black inks, b, and one color ink priced for $28.95. The inequality below represents the total spent by Joe: 28.95 + 5b ≤ 200. Solve the inequality to determine the price Joe spent on each black ink for spending a maximum of $200. Provide the solution. A.34 B.35 C.30 D.45

Answer 1

By solving the inequality 28.95 + 5b ≤ 200, it's found that the maximum price Mr. Green could spend on each black ink is up to $34.21. Hence, the correct answer is Option A: $34.

Step-by-step explanation:

Mr. Green has a budget of $200 and he has already spent $28.95 on a color ink. We need to solve for the price of each black ink, represented by b, given that he bought 5 black inks. The inequality 28.95 + 5b ≤ 200 represents his total spending. To find the maximum price he can pay for each black ink, we must solve for b.

1. Subtract $28.95 from both sides of the inequality to isolate the term with b: 5b ≤ 200 - 28.95.
2. Calculate the remaining budget for the black inks: 200 - 28.95 = 171.05.
3. Divide by the number of black inks to find the maximum price per ink: 171.05 / 5 = 34.21.

Therefore, the maximum price that Mr. Green could spend on each black ink is less than or equal to $34.21. Looking at the answer options, the closest option without exceeding the maximum is Option A: $34.