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Vinvika [58]
3 years ago
9

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, a

nd 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
Mathematics
1 answer:
zhuklara [117]3 years ago
8 0

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

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