Admission to an amusement park is $10 for children and $15 for adults. On Saturday, 1,300 people enter the park and $17,250 is collected. How many children and adults entered the park?
Answer (2)
simple suppose number of adults entered park on Saturday be = x number of children entered park on Saturday be = y so we get equation x + y =1300 x= 1300 - y { equation 1}
now for each children ticket is 10$ 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
In total, 450 children and 850 adults entered the amusement park on Saturday. The equations were set up based on the number of attendees and the revenue collected. Solving these equations provides the exact number of each type of visitor.
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