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?

Answers

Answer 1

Answer: 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

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Answers

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Answers

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Answers

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First, let's break down what this inequality means. 1,325 is the budget. 270 is the cost of the conference room. 26 is the number of people. That leaves x to be the amount you spend on lunch for each person.

So the budget is 1,325 and you are trying to find a value to fit into that price range which means it has to be less than or equal to 1,325. To do that, you already know that the conference room will cost 270 no matter what so you have to add that to the the amount for lunch which means you are subtracting it from the total cost of the budget.
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