At the Weston Ice Cream Parlor, one group of friends ordered 4 small servings of ice cream and 2 large servings of ice cream for $24. Another group of friends ordered 5 small servings of ice cream and 2 large servings of ice cream for $27. How much does the ice cream cost?The ice cream costs $ for a small serving and $ for a large serving.Submit
Question
At the Weston Ice Cream Parlor, one group of friends ordered 4 small servings of ice cream and 2 large servings of ice cream for 27. How much does the ice cream cost?The ice cream costs for a large serving.Submit
Solution
This problem can be solved using a system of linear equations.
Let's denote: S - the cost of a small serving of ice cream, L - the cost of a large serving of ice cream.
From the problem, we have the following two equations:
4S + 2L = $24 (1) (from the first group's order)
5S + 2L = $27 (2) (from the second group's order)
We can solve this system of equations step by step:
First, subtract equation (1) from equation (2). This will eliminate L and give us an equation that only involves S:
5S - 4S = 24 S = $3
Substitute S = $3 into equation (1):
4*3 + 2L = 24 2L = 12 L = 6
So, a small serving of ice cream costs 6.
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