Swimming Pool On a certain hot summer's day, 322 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $544.00. How many children and how many adults swam at the public pool that day? There were ◻ children at the public pool.

Question

Swimming Pool On a certain hot summer's day, 322 people used the public swimming pool. The daily prices are  $1.50 for children and  $2.00 for adults. The receipts for admission totaled  $544.00. How many children and how many adults swam at the public pool that day? There were  ◻ children at the public pool.

Bytelearn · Accepted Answer

Define variables:  Step 1: Define variables for the number of children and adults. Let c = number of children, a = number of adults. Total people = c + a = 322 Set up equation:  Step 2: Set up the equation for total receipts. 1.50c + 2.00a = 544.00 Solve system of equations:  Step 3: Solve the system of equations. From Step 1: a = 322 - c Substitute into the receipt equation: 1.50c + 2.00(322 - c) = 544 1.50c + 644 - 2.00c = 544 -0.50c = -100 Solve for c:  Step 4: Solve for c. c = -100 / -0.50 c = 200 Find number of adults:  Step 5: Find the number of adults using the value of c. a = 322 - 200 a = 122

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