Answer:
156 seats were sold at the store and 244 at the gallery
Step-by-step 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
