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1. A box contains 12 poles and 7 pieces of net. Each piece of net weighs 0.2 gm. each pole weighs 1.1 gm. The box and its contents together weigh 16.25 gm. How much does the empty box weigh?
- A. 1.2gm
- B. 1.2gm
- C. 1.2gm
- D. 1.2gm
Answer: Option B
Explanation:
Let's denote the weight of the empty box as "E" grams.
Now, let's calculate the total weight of the box and its contents:
- Weight of 12 poles = 12 poles * 1.1 gm/pole = 13.2 gm
- Weight of 7 pieces of net = 7 pieces * 0.2 gm/piece = 1.4 gm
So, the total weight of the poles and net is 13.2 gm + 1.4 gm = 14.6 gm.
Now, we are given that the box and its contents together weigh 16.25 gm. Therefore, we can write the equation:
E (weight of the empty box) + 14.6 gm (weight of poles and net) = 16.25 gm (total weight)
Now, solve for E:
E + 14.6 gm = 16.25 gm
Subtract 14.6 gm from both sides:
E = 16.25 gm - 14.6 gm
E = 1.65 gm
So, the weight of the empty box is 1.65 grams, which is equivalent to 1.6 grams when rounded to one decimal place.
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