There were 385 tickets purchased for a baseball game. The lower box $12.50 and the upper 10.00. The total amount of money spent was $4547.50. how many of each?

Question

How many lower box tickets were purchased?

 

How many upper box tickets were purchased?

Answer 1

x=lower box

y=upper box

 

x+y=385

12.5x+10y=4547.5

 

Solve the first equation for y.

y=-x+385

 

Substitute this value for y in the second equation and solve for x.

12.5x+10(-x+385)=4547.5

12.5-10x+3850=4547.5

2.5x=697.5

x=279

 

Substitute this value in the first equation and solve for y.

279+y=385

y=106

 

ANSWER: x=279; y=106

 

Check by plugging these values in the original equation.

12.5(279)+10(106)=4547.5