Q:

On a certain hot​ summer's day, 677 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 1188.00 .  How many children and how many adults swam at the public pool that​ day?

Accepted Solution

A:
So, 332 children and 345 adults swam at the public pool that dayFurther explanation:Let x be the number of kids andy be the number of adults then[tex]x+y=677[/tex]And[tex]1.50x+2y=1188[/tex]From first equation[tex]x=677-y[/tex]Putting x=677-y in second equation[tex]1.50(677-y)+2y=1188\\1015.5-1.5y+2y=1188\\0.5y=1188-1015.5\\0.5y=172.5\\\frac{0.5y}{0.5}=\frac{172.5}{0.5}\\y=345\\Putting\ y=345\ in\ first\ equation\\x+345=677\\x=677-345\\x=332[/tex]So, 332 children and 345 adults swam at the public pool that dayKeywords: Linear equations, Solution of linear equationsLearn more about linear equations at:brainly.com/question/10699220brainly.com/question/10703930#LearnwithBrainly