Pre-AP Algebra 2
Name ____________________
WS 5.2a:
3-Variable Systems Applications
Class Period ________
Write a system of equations and solve:
1.
Last Tuesday, Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600.
Tickets can be bought in one of 3 ways: a matinee admission costs $5, student admission
is $6 all day, and regular admissions are $8.50. How many of each type of ticket was sold
if twice as many student tickets were sold as matinee tickets?
2.
The sum of the measures of the angles of a triangle is 180
o
.
In a given triangle, the
measure of the second angle is twice the measure of the first.
The measure of the third
angle is 30
o
less than the sum of the measures of the first two.
Find the measure of each
angle.
3.
The sum of three numbers is 16.
The largest number is equal to the sum of the other two.
Three times the smallest number is 1 more than the largest number.

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- Fall '19