On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day
[tex]c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\ [/tex]
1.5c+876−2c=817
Step 1: Simplify both sides of the equation.
1.5c+876−2c=817
1.5c+876+−2c=817
(1.5c+−2c)+(876)=817(Combine Like Terms)
−0.5c+876=817
−0.5c+876=817
Step 2: Subtract 876 from both sides.
−0.5c+876−876=817−876
−0.5c=−59
Step 3: Divide both sides by -0.5.
[tex]c = \frac{ - 59}{ - 0.5} [/tex]
c=118
in the first formula
[tex]a = 438 - c \\ a = 438 - 118 \\ a =320[/tex]
