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Chapter 9: Q6. (page 600)

Read each question. Then fill in the correct answer on the answer document provided by your teacher or on a sheet of paper.

Jason is playing games at a family fun center. So far he has won 38 prize tickets. How many more tickets would he need to win to place him in the gold prize category?

Number of Tickets

Prize Category

1鈭�20

bronze

21鈭�40

silver

41-60

gold

61-80

platinum

F 2鈮�t鈮�22

G 3鈮�t鈮�22

H 1鈮�t鈮�20

J3鈮�t鈮�20

Short Answer

Expert verified

The number of tickets that he would need to win to place him in the gold prize category is such that 3鈮�t鈮�22. Therefore, option G is correct.

Step by step solution

01

Step1. Given 

It is given that Jason has won prize tickets

02

Step2. Write the inequality for the given problem.

Let tbe the number of more that he would need to win to place him in the gold prize category.

Therefore, the number of prize tickets that he has won is 38+t.

To place him in the gold prize category, the number of tickets must lie between 41and 60.

Therefore, the inequality for the given problem is:

41鈮�38+t鈮�60

03

Step3. Solve the inequality 41≤38+t≤60.

Solve the inequality 41鈮�38+t鈮�60.

Therefore, it is obtained that:

role="math" localid="1647684440205" 41鈮�38+t鈮�6041鈭�38鈮�38+t鈭�38鈮�60鈭�383鈮�t+38鈭�38鈮�223鈮�t鈮�22

Therefore, the number of tickets that he would need to win to place him in the gold prize category is such that 3鈮�t鈮�22. Therefore, option G is correct.

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