Admission to an amusement park is $10 for children and $15 for adults. On Saturday 1,300 people enter the park and $17,250 is collected. How many children and adults entered the park?
simple suppose number of adults entered park on Saturday be = x number of children entered park on Saturday be = y so we get equation x + y =1300 x= 1300 - y { equation 1}
now for each children ticket is 10$ and y number of children visited park on Saturday . so children collection on Saturday = 10y similarly adult collection =15x 15x+10y=17250 divide all by 5 3x+2y=3450 put x = 1300 -y from equation 1 here 3(1300-y) +2y=3450 3900 - 3y +2y = 3450 3900 - y =3450 3900-3450 = y 450= y so number of children visited park on saturday = 450 number of adult visited park on saturday = 1300 - 450 =850
