Help me please l

Question

 On a certain hot​ summer's day,

447

people used the public swimming pool. The daily prices are

$1.25

for children and

$2.50

for adults. The receipts for admission totaled

$1011.25.  

How many children and how many adults swam at the public pool that​ day?

Answer 1

1.25C + 2.5A = 1011.25

C + A = 447 multiply by 1.25 and subtract from 1st equation

1.25C+1.25A = 447(1.25) = 558.75

which eliminates one variable, leaving

1.25A = 1011.25 - 558.75 = 452.5

A = 452.5/1.25 = 362 adults

C=447-362 = 85 children

children paid 85(1.25) = $106.25

adults paid 362(2.5) = $905

total paid = 106.25+905 = $1011.25