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

Answer 2

The number of the balcony tickets that should be sold is 266.

Given that,

• 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.
• Here we assume balcony tickets be b and main floor tickets be m.

Based on the above information, the calculation is as follows:

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

4b + 12m = 3056 ...........(2)

Now we have to multiply equation 1 by 12 and add it with equation 2.

So,  

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

16b = 4256

b = 266

Therefore we can conclude that the number of the balcony tickets that should be sold is 266.

Learn more: brainly.com/question/13549064