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WILL GIVE BRAINEST TO CORRECT ANSWER (50 points)

Swimming Pool On a certain hot summer's day, 173 people used the public swimming pool. The
daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $306.00.
How many children and how many adults swam at the public pool that day?
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Respuesta :

fieryanswererft

Answer:

children's: 111 and adults: 62

Explanation:

  • given total number of people 173
  • total amount received is $306
  • during the process, we shall consider x as children and y as adult

make equations:

x + y → 173    [ this was from total people ]

1.5x + 2.25y → $306   [ this was from cost ]

try to make x the subject:

x + y → 173

x → 173 - y ______equation 1

1.5x + 2.25y → $306

1.5x → 306 - 2.25y

x → [tex]\frac{ 306 - 2.25y }{1.5}[/tex] __________equation 2

solve them simultaneously:

[tex]\frac{ 306 - 2.25y }{1.5}[/tex] = 173 - y

306 - 2.25y = 259.5 - 1.5y

-2.25 + 1.5y = 259.5 - 306

-0.75y = -46.5

y = 62

so there were total 62 adults that day in the public swimming pool.

find children's using:

x → 173 - y

x → 173 - 62

x → 111

so there were total 111 children's  that day in the public swimming pool.

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