Hi,
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
The question can be written out like this:
36 = 0.009x
Multiply both sides by 1,000:
9x = 36,000
Divide both sides by 9:
x = 4,000
Converse Perpendicular Transversal Theorem.
If two lines are perpendicular to the same line, then the lines are parallel.