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Answer :
Final answer:
Lee should mix 18 oz of corn syrup with 6 oz of molasses to make 24 oz of pancake syrup at the correct cost. This is found by setting up and solving a system of equations based on the given prices and desired total cost.
Explanation:
To determine how many ounces of corn syrup and molasses Lee should mix to make 24 oz of pancake syrup at the price of $0.36 per oz, we can set up a system of equations to solve this cost problem. Let x be the ounces of corn syrup and y be the ounces of molasses. The system of equations will be:
- x + y = 24 (since the total amount of syrup is 24 oz)
- 0.226x + 0.74y = 24 * 0.36 (since the total cost of 24 oz of mix must be $0.36 per oz)
From the first equation, we can express y as y = 24 - x. Substituting this into the second equation gives us:
0.226x + 0.74(24 - x) = 8.64. Solving for x, we find x = 18 and thus y = 6. So, the correct answer is (d) 18 oz of corn syrup and 6 oz of molasses.
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