Question

The admission fee at an amusement park is $2.25 for children and $6.80 for adults. 288 people entered the park, and the admission fees collected totaled 1194 dollars. How many children and how many adults were admitted?

Answer 1

Answer: Number of children  = 168

Number of adults = 120

Step-by-step explanation:

Let x = Number of children and y = Number of adults

As per given,

x+y=288          (i)

2.25x+6.80y =1194       (ii)

Multiply 2.25 on both sides in (i)

2.25x+2.25y= 648       (iii)

Eliminate (iii) from (ii)

4.55y=546

$\Rightarrow y=\dfrac{546}{4.55}\\\\\Rightarrow\ y=120$

Put y= 120 in (i)

x+120=288

⇒ x=288-120

⇒ x= 168

Hence, Number of children  = 168

Number of adults = 120