Question

(Score for Question 3: _ of 5 points)
3. A basketball team raised $200 to purchase new jerseys. There are 8 people on the team and jerseys cost $22
each. With the extra money, the team would like to purchase socks at $5 per pair. What is the greatest
number of pairs of socks the team can purchase?
(a) Write an inequality that describes the situation. Explain what the variable in your inequality
represents
(b) Solve the inequality.
(c) What is the greatest number of pairs of socks the team can purchase? Explain why your answer for
Part (c) will not match your answer in Part (b).
Answer.

Answer 1

With the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.

Since a basketball team raised $ 200 to purchase new jerseys, and there are 8 people on the team and jerseys cost $ 22  each, and with the extra money, the team would like to purchase socks at $ 5 per pair, to determine what is the greatest  number of pairs of socks the team can purchase, the following inequality must be raised:

• (22 x 8) + (X x 5) = 200
• 176 + (X x 5) = 200
• X x 5 = 200 - 176
• X = 24/5
• X = 4. 8

Therefore, with the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.

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