A school play sold child tickets,c , for $20 each and adult tickets,a , for $50 . The equations 20c+50a=10,000 and a=-0.4c +200 are equivalent forms of the same equation.
Which statement explains why different forms are used to compare the same equation?
A. The equation in slope-intercept form represents the sum of sales for child and adult tickets sold. The equation solved for represents the expression to calculate the number of child tickets sold.
B. The equation in slope-intercept form represents the sum of sales for child and adult tickets sold. The equation solved for represents the expression to calculate the number of adult tickets sold.
C. The equation in standard form represents the sum of sales for child and adult tickets sold. The equation solved for represents the expression to calculate the number of child tickets sold.
D. The equation in standard form represents the sum of sales for child and adult tickets sold. The equation solved for represents the expression to calculate the number of adult tickets sold.