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VladimirAG [237]
3 years ago
13

the ratio of student tickets to adult tickets for a drama production is 4 to 3. How many of each kind were sold if 840 tickets w

ere sold in all?
Chemistry
1 answer:
lesya [120]3 years ago
7 0

Answer:

Adult tickets = A (cost $8)

student tickets = S (cost $4)

8(80) + 4(60) = 880

Explanation:

Substitution.

Adult tickets = A (cost $8)

student tickets = S (cost $4)

 

The drama class sold 20 more adult tickets than student tickets:

A = S + 20 (equation 1)

 

The class collected $880 from tickets:

8A + 4S = 880 (equation 2)

 

How many adult tickets were sold?

A = S + 20

8A + 4S = 880

 

we substitute the first equation into the second:

8(S+20) + 4S = 880  

8S + 160 + 4S = 880

12S = 720

S = 60

 

Next we find the adult tickets by substituting back:

A = S + 20

A = 60 + 20

A = 80

 

Check our answer by substituting our answers in equation 2:

8A + 4S = 880 (equation 2)

8(80) + 4(60) = 880

640 + 240 = 880

880 = 880

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