Question

Try, check, and revise or write an equation to solve

concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery. For a function, 400 seats were sold for a total of $ 2,888. How many seats of each type were sold?​

Answer 1

156 seats were sold at the store and 244 at the gallery

Explanation:

Let the amount of stalls be x

Let the price per ticket for gallery be y

If 400 seats were sold in total, then;

x+y = 400 ... 1

If concert tickets are sold for $ 8 for the stalls and $ 6 for the gallery with a total of $2888, then;

8x + 6y = 2888 ....2

Solve both equation simultaneously

x+y = 400 ... 1 * 8

8x + 6y = 2888 ....2 .*1

__________

8x+8y = 3200 .

8x + 6y = 2888

Subtract

__________

8y - 6y = 3200 - 2888

2y = 312

y = 312/2

y = 156

Since x = 400 - x

y = 400 - 156

y = 244

hence 156 seats were sold at the store and 244 at the gallery