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On a certain hot​ summer's day, 196 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.00 for adults. The receipts for admission totaled $ 314.00 .  How many children and how many adults swam at the public pool that​ day?

Respuesta :

absor201

Number of adults = 40

Number of children = 156

Step-by-step explanation:

Let x be the number of adults and

y be the number of children

Then according to given statements

[tex]x+y=196\ \ \ Eqn\ 1\\2.0x+1.50y = 314\ \ \ Eqn\ 2\\[/tex]

From equation 1:

[tex]x+y = 196\\x = 196-y[/tex]

Putting in equation 2

[tex]2(196-y) + 1.50y = 314\\392-2y+1.50y = 314\\392-0.5y = 314\\-0.5y=314-392\\-0.5y=-78[/tex]

Dividing both sides by -0.5

[tex]\frac{-0.5y}{-0.5} = \frac{-78}{-0.5}\\y = 156[/tex]

Putting y = 156 in equation 1

[tex]x+156 = 196\\x = 196 - 156\\x = 40[/tex]

Hence,

Number of adults = 40

Number of children = 156

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/10015690
  • brainly.com/question/10048445

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