On a certain hot summer's day, 659 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo

Question

3 years ago

9

On a certain hot summer's day, 659 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo

r adults. The receipts for admission totaled $ 1230.25 . How many children and how many adults swam at the public pool that day?

Mathematics

1 answer:

valentinak56 [21] · Answer 1 · 2022-05-23T17:49:16+03:00

351 children and 308 adults swam at the public pool.

Step-by-step explanation:

Let,

Children = x

Adults = y

Price per children = $1.75

Price per adult = $2.00

According to given statement;

x+y=659 Eqn 1

1.75x+2y=1230.25 Eqn 2

$Multiplying\ Eqn\ 1\ by\ 2\\2(x+y=659)\\2x+2y=1318 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 2\ from\ Eqn\ 3\\(2x+2y)-(1.75x+2y)=1318-1230.25\\2x+2y-1.75x-2y=87.75\\0.25x=87.75\\Dividing\ both\ sides\ by\ 0.25\\\frac{0.25x}{0.25}=\frac{87.75}{0.25}\\x=351\\Putting\ value\ of\ x\ in\ Eqn\ 1\\351+y=659\\Subtracting\ 351\ from\ both\ sides\\351-351+y=659-351\\y=308$

351 children and 308 adults swam at the public pool.

Keywords: Linear equations, Division

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On a certain hot​ summer's day, 659 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo

On a certain hot summer's day, 659 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 fo