Question

Two families go to the movies. Family 1, consisting of two adults and three children, pays...

Two families go to the movies. Family 1, consisting of two adults and three children, pays $48. Family 2, consisting of three adults and five children, pays $75. Determine the price of an adult ticket and price of a child ticket.

If A represents the price of an adult ticket and C represents the price of a child's ticket, the write an expression for the price paid for:

Family 1: A +  C = 48

Family 2: A + C = 75

With the equations you have just formed we can solve for the price of an adult ticket and a child ticket to the movies, by plotting the equations on a graph using the intercept-intercept method.

Fill in the missing values in the tables for each family equation to find the coordinates for where the lines will intercept the axes.

Family 1

Adults (A)

Children(C)

0

0

Family 2

Adults (A)

Children(C)

0

0

By drawing a line between the coordinates found for each family in the tables above, we can find a point of intersection for the adult ticket price and child ticket price. Look at the graph below to find the point of intersection for the prices for the adult and child tickets. Note, the point of intersection can also be found by using simultaneous equations.

The price of the adult ticket is =

The price of the child ticket is =

Math   Statistics-And-Probability   
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