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By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?

Sagot :

Answer:

$8

Step-by-step explanation:

This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert. x + 2y = 82 3x + y = 96 By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?

Two equations are presented in this question

x + 2y = 82   equation 1

3x + y = 96     equation  2

Multiply equation 1 by 3

3x + 6y = 246 equation 3

subtract equation 2 from 3

5y = 150

y = 30

Substitute for y in equation 1

x + 2(30) = 82

x = 82 - 60

x = 22

difference in price = 30 - 22 = $8

x =

Answer:

The price of a ticket for the gold section exceeds the price for a ticket for the silver section by 8 dollars.

Step-by-step explanation: