On a certain hot​ summer's day, 399 people used the public swimming pool. The daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $601.25. How many children and how many adults swam at the public pool that​ day?

children: 317

adults: 82

Step-by-step explanation:

x = children

y = adults

x + y = 399

125x + 250y = 60125

125x + 125y = 49875

125x + 250y = 60125

-125y = -10250

y = 82

x + y = 399

x + 82 = 399

x = 317

82 adults   317 children  

Step-by-step explanation:

c= children

a = adults

A)     a+ c = 399

B)     1.25(c) + 2.50(a)  = 601.25

Multiply the whole  A)   by -1.25

Add     A) +B)    (c will be eliminated since 1.25c -1.25c=0)

-1.25 c - 1.25a  =  -498.74

1.25 c+ 2.50 a  =   601.25

            1.25 a  =  102.50

Divide both sides by 1.25:

                      a =  82    (82 adults)

         399-82 = 317  (317 children)

317 ($1.25) = $396.25  Price for 317 children

82($2.50) = $205    Price for 82 adults

Total:

   $ 396.25 + $205 =  $ 601.25

     317 + 82 = 399

c =