Question

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

Answer 1

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

`c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\`

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.

`c = ( - 59)/( - 0.5)`

c=118

in the first formula

`a = 438 - c \\ a = 438 - 118 \\ a =320`

Answer 2

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

`c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\`

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.

`c = ( - 59)/( - 0.5)`

c=118

in the first formula

`a = 438 - c \\ a = 438 - 118 \\ a =320`