At fridays football game, 1,294 tickets were sold for a total amount of $8,816.00. if each student ticket cost $5.00, and each adult ticket costs $8.00 , how many student tickets were purchased?

512 student tickets were purchased.

Step-by-step explanation:

Represenation of the unknowns:  Let s be the number of student tickets and a the number of adult tickets.  Then s + a = 1294.

The dollar amounts are thus ($5/ticket)s + (8/ticket)a = $8816.

Goal: Find s; to do this, eliminate a.

Since s + a = 1294, a = 1294 - s

Then:  5s + 8(1294 - s) = 8816, or

5s - 8s + 8(1294) = 8816, or

-3s + 10352 = 8816

Isolating the 3s term, we get

-3s - 1536 = 0, or

3s = 1536, which yields s = 512

512 student tickets were purchased.

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.