The admission fee at an amusement park is $1.50 and $4 only for adults. On a certain day 314 people entered the park, the admission fee collected $796.00. How many children and how many adults were admitted?
x = number of children entering
314  x = number of adults entering {there were 314 total people entering} 1.5x + 4(314  x) = 796 {price per ticket times number of tickets equals total admission} 1.5x + 1256  4x = 796 {used distributive property} 2.5x + 1256 = 796 {combined like terms} â2.5x = 460 {subtracted 1256 from each side} âx = 184 {divided each side by 2.5} 314  x = 130 {substituted 184, in for x, into 314  x} 184 children and 130 adults were admitted â Ask the House
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February 2023
