bill sold 75 tickets for a gig. He sold x £5 tickets and y £8 tickets. He collected £444. How many of each type of ticket did he sell

Question

bill sold 75 tickets for a gig. He sold x £5 tickets and y £8 tickets. He collected £444. How many of each type of ticket did he sell

Answer 1

EQN1:   X+Y=75

 

EQN2:   5X+8Y=444

 

EQN1  X=75-Y

 

SUBSTITUTE

5X+8Y=444

 

5(75-Y)+8Y=444

 

375-5Y+8Y=444

 

3Y=444-375

3Y=69

 

Y=69/3=23

 

Answer

23 Y tickets

&

(75-23)X tickets

 

 

check

 

(23)(8)=184 

 

(75-23)(5)=(52)(5)=260

 

 

 

184+260= 444  checks out