Problema Solution
You need to buy tickets the student tickets cost $4.50 the non students cost $6.00 together the cost was $288 write an equation using x and the students and y as the non students
Answer provided by our tutors
x and y are non negative integers
4.50*x + 6*y = 288
lets plot the above function
click here to see the graph
from the graph we find the integer non negative solution for 4.50*x + 6*y = 288 that is
y = - 0.75x + 48
y >=0
- 0.75x + 48 >= 0
x<= 64
for y to be an integer 0.75x needs to be integer too
since 0.75*4 = 3 follows x is a multiple of 4
the set of solutions for x is {0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64}
knowing x we can easily calculate y using the formula y = - 0.75x + 48.