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Chapter 8: Q10. (page 521)

GRIDDED RESPONSE Mr. Branson bought a total of 9 tickets to the zoo. He bought children tickets at the rate of \(6.50 and adult tickets for \)9.25 each. If he spent $69.50 altogether, how many adult tickets did Mr. Branson purchase?

Short Answer

Expert verified

Mr. Branson purchased 4 adult tickets.

Step by step solution

01

Step 1. Write information in terms of equation.

Let the number of children tickets be x and the number of adult tickets be y, such that,

x+y=9y=9鈭�x

Therefore, the equation for total expense is

6.50x+9.25y=69.50

02

Step 2. Replace variables with values.

Replace y with9鈭�x in 6.50x+9.25y=69.50.

6.50x+9.259鈭�x=69.506.50x+83.25鈭�9.25x=69.50鈭�2.75x=鈭�13.75x=5

Therefore, number of children ticket is 5.

03

Step 3. Find the number of adult tickets.

Replace x with 5 in y=9鈭�x.

y=9鈭�x=9鈭�5=4

Therefore, number of adult tickets is 4.

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