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attashe74 [19]
3 years ago
13

On a certain hot​ summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for

adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that​ day?
Mathematics
1 answer:
Svetllana [295]3 years ago
3 0

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given,  x+y = 291      (i)

1.5x+2y = 472.50         (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582  (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

\Rightarrow x=\dfrac{109.50}{0.5}=219

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.

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Step-by-step explanation:

Data

right triangle

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