Diana bought 4 pairs of sunglasses and 3 dresses for $750. If 1 pair of sunglasses cost the same as 3 dresses, what is the cost of 1 pair of sunglasses and 1 dress?The cost of 1 pair of sunglasses and 1 dress is $.Recommended Heuristic: Use Equations
Question
Diana bought 4 pairs of sunglasses and 3 dresses for .Recommended Heuristic: Use Equations
Solution
Let's denote the cost of one pair of sunglasses as S and the cost of one dress as D.
From the problem, we know that:
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4S + 3D = 750)
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S = 3D (1 pair of sunglasses cost the same as 3 dresses)
We can substitute equation 2) into equation 1) to get:
4(3D) + 3D = 750 15D = $750
Solving for D, we get:
D = 50
Substituting D = $50 into equation 2), we get:
S = 3D = 3 * 150
So, the cost of one pair of sunglasses is 50.
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