Question

A jazz concert brought in ​$167,000 on the sale of 8,200 tickets. If the tickets sold for $15 and $25 ​each, how many of each type of ticket were​ sold?

Answer 1

x=3800, y=4400

Explanation:

X+y=8200 equation 1

15x+25y=167000 equation 2

x=8200-y isolate x in equation 1

15(8200-y)+25y=167000 substitute value of x from equation 1 into equation 2

123000-15y+25y=167000

10y=44000

y=4400

solve for x by inserting y value into either equation.

x+y=8200

x+4400=8200

x=3800

Check answer:

15x+25y=167000

15(3800)+25(4400)=167000

57000+110000

167000=167000