A small truck weighs approximately 1600 lb. It is loaded with cement slabs that weigh 170 lb each. If the maximum loaded weight of the truck is 3.45 tons, how many slabs can be loaded? (Enter the numbers only with no units.)1) Convert pounds to tons: 1600 lb = __?__ tnAnswer2) Find the maximum weight of the slabs that the truck can still carry and convert to pounds: ___?___ lb.Answer3) Now determine the maximum number of slabs that the truck can carry: ___?___slabs.
Question
A small truck weighs approximately 1600 lb. It is loaded with cement slabs that weigh 170 lb each. If the maximum loaded weight of the truck is 3.45 tons, how many slabs can be loaded? (Enter the numbers only with no units.)1) Convert pounds to tons: 1600 lb = ? tnAnswer2) Find the maximum weight of the slabs that the truck can still carry and convert to pounds: ? lb.Answer3) Now determine the maximum number of slabs that the truck can carry: ___?___slabs.
Solution
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To convert pounds to tons, you need to know that 1 ton is equal to 2000 pounds. So, 1600 lb = 0.8 tons.
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The maximum loaded weight of the truck is 3.45 tons. If the truck itself weighs 0.8 tons, then the maximum weight of the slabs that the truck can still carry is 3.45 tons - 0.8 tons = 2.65 tons. To convert this to pounds, multiply by 2000. So, 2.65 tons = 5300 lb.
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Each slab weighs 170 lb. To find out how many slabs the truck can carry, divide the maximum weight of the slabs that the truck can carry by the weight of each slab. So, 5300 lb ÷ 170 lb/slab = 31.18 slabs.
Since you can't have a fraction of a slab, the truck can carry a maximum of 31 slabs.
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