math problem

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Tsparka Tsparka
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math problem

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 314 people entered the park, and the admission fees collected totaled 896.00 dollars. How many children and how many adults were admitted?
AlgebraHouse AlgebraHouse
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Re: math problem

x = number of children admitted
314 - x = number of adults admitted

1.5x + 4(314 - x) = 896   {number admitted multiplied by price of admission equals total income}
1.5x + 1256 - 4x = 896   {distributive property}
-2.5x + 1256 = 896   {combined like terms}
-2.5x = -360   {subtracted 1256 from each side}
x = 144   {divided each side by -2.5}
314 - x = 170   {substituted 144, in for x, into 314 - x}

144 children
170 adults


- Algebra House