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Gordon is building a wardrobe. The wood costs 30% more than he had estimated. He needs 40% more than he had estimated. How much more than his original estimate does the material for the wardrobe cost?

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Let's break this down step by step:

1. **Wood Cost Increase**: Gordon's wood costs 30% more than he had estimated. Let "x" be his original estimate for the wood cost.

The increased cost for wood = 0.30 * x = 0.3x

2. **Material Requirement Increase**: Gordon needs 40% more material than he had estimated. Let "y" be his original estimate for the material requirement.

The increased material requirement = 0.40 * y = 0.4y

3. **Cost Increase Due to Material Requirement**: The cost of the wardrobe is directly proportional to the material used. So, the cost increase due to the material requirement is also 40% more than his original estimate for the material cost.

Increased cost due to material requirement = 0.40 * x

Now, to find out how much more than his original estimate the material for the wardrobe costs, you need to add the cost increases due to both the wood and material requirement:

Total cost increase = Increased cost for wood + Increased cost due to material requirement
Total cost increase = 0.3x + 0.4x
Total cost increase = 0.7x

So, the material for the wardrobe costs 70% (0.7x) more than his original estimate.
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User Manimino
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