On a certain hot summer's day, 347 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.50 for adults. The receipts for admission totaled $ 743.75. How many children and how many adults swam at the public pool that day?
Accepted Solution
A:
Number of Children = 165Number of Adults = 182Step-by-step explanation:Let x be the number of children and y be the number of adultsThen according to given statements[tex]x+y=347\ \ \ \ \ Eqn\ 1\\and\\1.75x+2.50y=743.75\ \ \ \ Eqn 2\\From 1:\\x=347-y\\Putting\ this\ in\ equation\ 2\\1.75(347-y)+2.50y=743.75\\607.25-1.75y+2.50y=743.75\\0.75y+607.25=743.75\\0.75y=743.75-607.2\\0.75y=136.5\\[/tex][tex]y=\frac{136.5}{0.75}\\y=182\\Putting\ y=182\ in\ eqn\ 1\\x+182=347\\x=347-182\\x=165[/tex]Number of Children = 165Number of Adults = 182Keywords: Linear Equations, System of EquationsLearn more about linear equations at:brainly.com/question/10470406brainly.com/question/10597501#LearnwithBrainly