Question

HILP3.)

Keyaun
O SYSTEMS
Solving a value mixture problem using a system of linear equal...
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $40 and same-day tickets cost $25. For one performance,
there were 75 tickets sold in all, and the total amount paid for them was $2400. How many tickets of each type were sold?
X
5
?
Number of advance tickets sold: 1
Number of same-day tickets sold:​

Answer 1

Explanation:

a-number of advance tickets

s-number of same day tickets

a*40+s*25=2400

a +s =75

I solve with the substitution method

s=75-a

40a+25*(75-a)=2400

40a+1875-25a=2400

15a=2400-1875

15a=525

a=525/15

a=35

so s=75-35

s=40