Problema Solution

two families go to the movies. One family purchases two adult tickets and four youth tickets for $30. Another family purchases three adult tickets and five youth tickets for $41. How much would it cost to purchase sixe adult tickets and eight youth tickets?

Answer provided by our tutors

Let 'x' represent the cost per adult ticket and 'y' the cost per youth ticket.

2x + 4y = 30

3x + 5y = 41

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click here to see the system of equations solved for x and y

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x = $7

y = $4

6x + 8y = 6*7 + 8*4 = 42 + 32 = $74

It costs $74 to purchase 6 adult tickets and 8 youth tickets.