On a certain hot summer's day, 182 people used the public swimming pool. the daily prices are $ 1.75 for children and $ 2.25 for adults. the receipts for admission totaled $ 346.50 . how many children and how many adults swam at the public pool that day?

Set up a systems of equations where x equals the number of children and y equals the number of adults
(≈ is being used as an equal sign)
x + y≈ 182
1.75x + 2.25y ≈ 346.50
solve for x and then plug that back in to get the value for y
check your work by plugging both back into one of the original equations