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Manassas Park is selling tickets for their fall musical. On the first day of sales, we sold 3
adult tickets and 9 student tickets. They made $75. On the second day of sales, we sold
8 adult tickets and 5 student tickets and made $67. How much does an adult and a
student ticket cost?

Respuesta :

Answer:

Adult: $ 4

Student: $ 7

Step-by-step explanation:

Adult: x

Students: y

a) 3x + 9y = 75

b) 8x + 5y = 67

Substitution:

a) 3x = -9y + 75

x = (-9y + 75)/3

x = -3y + 25

Substitute:

b) 8(-3y+25) + 5y = 67

-24y + 209 + 5y = 67

-19y = -209 +67

y = -133/-19

y = 7

Substitute:

x = = 3(7) + 25

x = -21+25

x = 4

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