Lester and Henry shared the cost of a present. Lester paid $34 more than 5/13 of the present. Henry paid $50. What was the cost of the present?
Question
Lester and Henry shared the cost of a present. Lester paid 50. What was the cost of the present?
Solution
Sure, let's solve this step by step:
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First, let's denote the cost of the present as "P".
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According to the problem, Lester paid 34.
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Henry paid $50.
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Since Lester and Henry shared the cost of the present, we can add what they both paid to find the total cost of the present. This gives us the equation: (5/13)P + 50 = P.
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Simplifying the equation, we get: (5/13)P + $84 = P.
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To isolate P, we subtract (5/13)P from both sides of the equation, which gives us: $84 = (8/13)P.
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Finally, to find the cost of the present, we divide both sides of the equation by (8/13), which gives us: P = 136.50.
So, the cost of the present was $136.50.
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