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481 people used the pool, prices are $1.25 per child, $2.25 per adult. Total admission for the day was $865.25. How many kids and adults swam at the pool

Respuesta :

calculista

Answer:

217 kids and 264 adults swam at the pool

Step-by-step explanation:

Let

x ----> the number of kids

y ----> the number of adults

we know that

[tex]x+y=481[/tex]

[tex]x=481-y[/tex] ----> equation A

[tex]1.25x+2.25y=865.25[/tex] -----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]1.25(481-y)+2.25y=865.25[/tex]

solve for y

[tex]601.25-1.25y+2.25y=865.25[/tex]

[tex]601.25+y=865.25[/tex]

[tex]y=865.25-601.25[/tex]

[tex]y=264[/tex]

Find the value of x

[tex]x=481-264=217[/tex]

therefore

217 kids and 264 adults swam at the pool

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