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enny has $75 to buy tickets to the state fair for her family. She will buy an equal number of child and adult tickets.

 

TicketCost ($)

Child5.00

Adult8.00

1.

The inequality 5n+8n≤755n+8n≤75 can be used to find the number of each type of ticket she can buy. What is the greatest number of tickets Penny can buy?

2.

She can buy (  ) child tickets and(   ) adult tickets.

 Mar 19, 2021
 #1
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+1

1.

 

Let  the  equal number of tickets =  n

 

So

 

5n + 8n ≤ 75

 

13n ≤ 75

 

n ≤  75  /13 

 

n ≤  5.76

 

She can buy   5 tickets of each type =  10 tickets total

 

Proof

 

5(5)  + 8(5)  =   $65

 

If she   bought 6 tickets each....she would spend

 

5(6)  + 8(6)  =  $78     (too much)

 

cool cool cool

 Mar 19, 2021

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