Question

On a certain hot summers day, 602 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $1113.75. How many children and how many adults swam at the public pool that day?

Answer 1

Step-by-step explanation:

   Let the number of children that swam be A

  Let the number of adults that swam be B

         1.75A+2B=1113.75   Equation 1

               Total number of people that used that pool =602

          A+B=602      Equation 2

These are simultaneous Equations

 multiply Equation 2 by(2) on both the sides we get

         2A+2B=1204   Equation 3

Subtract Equation 1 from Equation 3

          2A+2B=1204 Equation 3

      1.75A+2b=1113.75 Equation 1

   -           -       -

        .25A+0   =90.25

        .25A=90.25

            A=90.25/.25

           A=361

putting value of A in Equation 2 we get

361+B=602

B=602-361

B=241

so number of children is 361

and number of adults is 241