A drama teacher has a budget of $120 to spend on materials to create costumes for a play. She can buy 1 square yard of white mat
erial for $8, while 1 square yard of blue material costs $10. Let x represent the number of square yards of white fabric purchased and y be the number of square yards of blue fabric. Then the inequality 8x+10y≤120 graphed below determines how many square yards of each type of fabric can be bought without exceeding the budget. If the teacher wants to buy 10 square yards of white fabric, what is the greatest whole number of square yards of blue fabric that she can buy without exceeding the budget?
It's given that: x=2y z= 2y+6 538=x+y+z Then convert the values of y and z to x. 538=x+2x+(4x+6) This is the equation used to solve for x. 538=3x+4x+6 538=7x+6 538-6=7x+6-6 532=7x 532/7=7x/7 76 = x