An arena is hosting a rock concert. it has "silver" and "gold" seating sections. the event organizers are selling the first 100 gold tickets at the price of a
silver ticket. the price of a silver ticket is $7 more than 1/2 the price of a gold ticket. the price of a silver ticket is $14 less than 6/5 the price of a gold ticket.
how much will one of the first 100 buyers save on the price of a gold ticket?

s = the price of a silver ticket

g = the price of a gold ticket

s = 7 + (1/2)*g           (first relation)

s = (6/5)*g - 14        (second relation)

but (first relation) = (second relation) so we get

7 + (1/2)*g = (6/5)*g - 14

(6/5)*g - (1/2)*g = 7 + 14

(7/10)*g = 21

g = 30

from (first relation) we get s = 7 + (1/2)*30 = 22.

how much would someone save? the answer is g - s = 8.

Step-by-step explanation:

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step-by-step explanation:

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