The school that Imani goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 3 senior citizen tickets and 3 child tickets for a total of $69. The school took in $91 on the second day by selling 5 senior citizen tickets and 3 child tickets. What is the price each of one senior citizen ticket and one child ticket?

Cost of one senior citizen ticket = $11

Cost of one child ticket = $12

Step-by-step explanation:

Let,

x be the cost of one senior citizen ticket

y be the cost of one child ticket

According to given statement;

3x + 3y = 69      Eqn 1

5x + 3y = 91      Eqn 2

Subtracting Eqn 1 from Eqn 2

(5x+3y)-(3x+3y) = 91 - 69

5x+3y-3x-3y = 22

2x = 22

Dividing both sides by 2

x = 11

Putting x = 11 in Eqn 1

3(11) + 3y = 69

33 + 3y = 69

3y = 69 - 33

3y = 36

Dividing both sides by 3

Hence,

Cost of one senior citizen ticket = $11

Cost of one child ticket = $12

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step-by-step explanation:

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2