508 people are there, the daily price is $1.25 for kids and $2.00 for adults. The receipts totaled $

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508 people are there, the daily price is $1.25 for kids and $2.00 for adults. The receipts totaled $885.50. How many kids and how many adults were there?

Assumptions:

• Let the number of adults be a
  
• Let the number of kids be k

Given with assumptions:

1. a + k = 508
2. 2a + 1.25k = 885.50 (since cost = price * quantity)

Rearrange equation (1) by subtracting c from each side to isolate a:

1. a = 508 - k
2. 2a + 1.25k = 885.50

Substitute equation (1) into equation (2):
2(508 - k) + 1.25k = 885.50

Multiply through:
1016 - 2k + 1.25k = 885.50
1016 - 0.75k = 885.50

To solve for k, we type this equation into our search engine and we get:
k = 174

Now, to solve for a, we substitute k = 174 into equation 1 above:
a = 508 - 174
a = 334