## The juniors sold the student tickets for $3 and he adult tickets for$8 use a to represent the number of tickets that were sold. In total 30

Question

The juniors sold the student tickets for $3 and he adult tickets for$8 use a to represent the number of tickets that were sold. In total 300 tickets were sold. After paying back the investors, the profit was $775. If the juniors initially received a total of$210 from investors , how many tickets of each type did the students sell?

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20 hours 2021-09-11T19:24:03+00:00 1 Answer 0

Step-by-step explanation:

Let x represent the number of student tickets that they sold.

Let y represent the number of adult tickets that they sold.

In total 300 tickets were sold. It means that

x + y = 300

The juniors sold the student tickets for $3 and he adult tickets for$8. After paying back the investors, the profit was $775. If the juniors initially received a total of$210 from investors, it means that the total revenue from the ticket sales is

775 + 210 = 985

The expression becomes

3x + 8y = 985- – – – – – – – – – -1

Substituting x = 300 – y into equation 1, it becomes

3(300 – y) + 8y = 985

900 – 3y + 8y = 985

– 3y + 8y = 985 – 900

5y = 85

y = 85/5

y = 17

x = 300 – y = 300 – 17

x = 283