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6) Butch's truck has 200 boxes of turnips and one crate of apples. The crate of apples weighs
50 pounds. If the cargo in Butch's truck weighs 1,090 pounds total, how much does each box
of turnips weigh?
​

Sagot :

Answer:

     Each box of turnips weighs 5.2 pounds

Step-by-step explanation:

Let us model this situation as an equation in one variable and solve for that variable given the information in the question

Let x pounds be the weight of each box of turnip

Let y be the total weight of the cargo in the truck

There are 200 boxes of turnips so the total weight of turnips cargo
        = 200x pounds

There is one crate of apples so total weight of apple cargo = 50 pounds

Together the entire cargo weighs 200x + 50 pounds

We are given the numeric value of this cargo as 1090 pounds

Equating the expression in x to the numeric value of cargo we get
200x + 50 = 1090

To solve for x:
     1. Subtract 50 from both sides:
             200x + 50 - 50 = 1090 - 50

     2. Simplify expression in step 1:
              200x = 1040

     3. Divide both sides by 200:
               200x/200 = 1040/200

      4. Simplify

                 x = 5.2 pounds

Therefore each box of turnips weighs 5.2 pounds

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