58 people attend a banquet at Disney residents paid 13.00 and non residents paid 17.50. If Disney made 925.00 from ticket sales for the event how many residents and non residents attended
Accepted Solution
A:
x= # of residents y= # of non residents
QUANITY EQUATION x+y= 58
COST EQUATION $13.00x + $17.50y= $925.00
SOLVE FOR 1 VARIABLE x+y= 58 subtract y from both sides x= 58-y
SUBSTITUTE IN 2nd EQUATION $13.00x + $17.50= $925.00 13(58-y) + 17.50y= 925.00 multiply 13 by all in parentheses (13*58)+(13*-y)+17.50y= 925.00 754-13y+17.50y= 925.00 combine like terms 754+4.50y= 925.00 subtract both sides by 754 4.50y= 171 divide both sides by 4.50 y= 38 number of non residents
SUBSTITUTE TO FIND X x+y= 58 x+38= 58 x= 20 number of residents
ANSWER: 20 residents and 38 non residents attended.