Question

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 334 people entered the park, and the admission fees collected totaled 876.00 dollars. How many children and how many adults were admitted? Your answer is number of children equals number of adults equals

Answer 1

Answer: Number of children = 184

Number of adults = 150

Step-by-step explanation:

Let x be the number adults and y be the number of children.

334 people entered the park.

$\Rightarrow\ x+y=334----------(1)$

The admission fee at an amusement park is $1.50 for children and $4 for adults and fees collected totaled 876.00 dollars.

$\Rightarrow\ 1.50x+4y=876----------(2)$

Multiply 4 to equation (1), we get

$4x+4y=1336---------(3)$

Eliminate equation (2) from (3)

$2.50x=460\\\\\Rightarrow\ x=\dfrac{460}{2.5}=184$

Put x= 184 in (1)

$184+y=334\\\\\Rightarrow\ y=334-184=150$

∴ Number of children = 184

Number of adults = 150