Question

There were 100 more balcony tickets than main floor tickets sold for a concert. The balcony tickets sold for $4 and the main floor tickets is sold for $12. The total amount of sales for both types of tickets was 3,056.Find the number of the balcony tickets that ere sold

Answer 1

et balcony tickets be represented by 'b' & main floor tickets by'm'.

There were 100 more balcony tickets than main-floor tickets sold for a concert.

-->> b-m=100...(eq. 1)

From the second condition we get...

-->> 4b+12m=3056...(eq. 2)

multiply eq1 by 12 and add it with eq.2

-->(12b-12m)+(4b+12m)=(1200+3056)

-->16b=4256

-->>b=266

so 266 balcony tickets were sold.

hope this helps