Question

Rashad wants to buy tickets for his family and friends to attend a local festival. HE needs 6 adult tickets and I child tickets. He was told the total cost will be $138, and the cost of one adult ticket with two child ticket is $26.50. He needs to know how much each type of ticket will cost.

Part A: Set up a system of equations to find the cost of each type of ticket. Use a for the cost of an adult ticket and c for the cost of a child ticket.

Part B: Determine the cost of each type of ticket

Answer 1

Answer:

Adult- $13.25

Child- $6.62

Answer 2

Concept

An equation is a relationship between two variables in  equal to form. It can be in two variables and in one variable also.

Given

Total cost=$138 and cost of one adult ticket with two child ticket is $26.50.

To find

1. Cost of each type of ticket.
2. Form equations.

Explanation

let the cost of ticket of adults be x and of children be y.

According to question :

6x+y=138---------------1

x+2y=26.50------------2

Multiply equation 2 by 6

6x+y=138---------------3

6x+12y=159------------4

subtract 3 from4 such that

6x+y-6x-12y=138-159

-11y=-21

y=21/11

y=1.91

put the value of y in equation 1 to get the value of x

6x+21/11=138

6x=138-21/11

6x=(1518-21)/11

6x=1497/11

x=1497/66

x=22.68

Hence the cost of an adult ticket is $22.68 and the cost of a child ticket is $1.91.

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