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Sagot :
FINAL ANSWER: 423 tickets sold to adults,
387 tickets sold to students.
SOLUTION:
Let tickets sold to adults: x
tickets sold to students : y
To rewrite equation in terms of x for tickets sold to students:
x + y = 810
y = 810 - x
So: Tickets sold to adults: x at 4 dollars each
Tickets sold to students: 810-x at 3 dollars each
Equation:
4(x) + 3(810-x) = 2,853
4x + 2430 - 3x = 2,853
4x - 3x = 2,853 - 2,430
x = 423
Number of tickets for each type:
Adults = x
= 423 tickets
Students = 810-x
= 810 - 423
= 387 tickets
Add: 423 tickets + 387 tickets = 810 tickets
To check if the total receipts is correct:
4x + 3 (810-x) = 2,853
4 (423) + 3 (387) = 2,853
1,692 + 1,161 = 2,853
2,853 = 2,853
387 tickets sold to students.
SOLUTION:
Let tickets sold to adults: x
tickets sold to students : y
To rewrite equation in terms of x for tickets sold to students:
x + y = 810
y = 810 - x
So: Tickets sold to adults: x at 4 dollars each
Tickets sold to students: 810-x at 3 dollars each
Equation:
4(x) + 3(810-x) = 2,853
4x + 2430 - 3x = 2,853
4x - 3x = 2,853 - 2,430
x = 423
Number of tickets for each type:
Adults = x
= 423 tickets
Students = 810-x
= 810 - 423
= 387 tickets
Add: 423 tickets + 387 tickets = 810 tickets
To check if the total receipts is correct:
4x + 3 (810-x) = 2,853
4 (423) + 3 (387) = 2,853
1,692 + 1,161 = 2,853
2,853 = 2,853
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