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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,438 was collected on the sale of 1,066 tickets. How many of each type of ticket were sold?​

1 Answer

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Answer:

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Explanation:

A = number of adult tickets

S = number of student tickets

1066 = total tickets sold

A + S = 1066

5A = money collected for adult tickets

S = money collected for student tickets

2438 = total money collected

5A + S = 2438

two equations and two unknowns:

5A + S = 2438

A + S = 1066

subtract 2nd equation from 1st and solve for A:

4A = 1219

A = 305

Plug in value for A in 1st equation and solve for S:

A + S = 1066

305 + S = 1066

S = 761

761 student tickets and 305 adult tickets were sold

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