Grace sold some dolls and earned $87 at first. Then she sold the remaining s dolls at $4 each and made some earnings. Grace bought the dolls from the factory for $204. What is her total profit (the difference between her earnings and the cost of dolls bought from the factory)?
Question
Grace sold some dolls and earned 4 each and made some earnings. Grace bought the dolls from the factory for $204. What is her total profit (the difference between her earnings and the cost of dolls bought from the factory)?
Solution 1
Step 1: Identify the total earnings Grace made. She earned 4 each. So, her total earnings are $87 + 4s.
Step 2: Calculate Grace's profit. Profit is the difference between earnings and cost. Grace's cost is 87 + 4s) - $204.
Step 3: Simplify the expression to find the profit. The profit is 4s + 87 - 204.
Step 4: Further simplify the expression to find the profit. The profit is 4s - 117.
Solution 2
Step 1: Identify the total earnings Grace made. She earned 4 each. If s is the number of remaining dolls, her earnings from selling these dolls is 4s. Therefore, her total earnings is $87 + 4s.
Step 2: Calculate Grace's profit. Profit is the difference between earnings and cost. Grace's cost is 87 + 4s) minus her cost ($204).
So, the profit is (204.
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