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 for adults. The receipts for admission totaled $ 1230.25 . How many children and how many adults swam at the public pool that day?
Accepted Solution
A:
351 children and 308 adults swam at the public pool.Step-by-step explanation:Let, Children = xAdults = yPrice per children = $1.75Price per adult = $2.00According to given statement;x+y=659 Eqn 11.75x+2y=1230.25 Eqn 2[tex]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[/tex]351 children and 308 adults swam at the public pool.Keywords: Linear equations, DivisionLearn more about linear equations at:brainly.com/question/10703930brainly.com/question/10772025#LearnwithBrainly