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A shipment of sugar fills 10 containers. If each container holds 2(3)/(4) tons of sugar, what is the amount of sugar in the entire shipment? Write your answer as a mixed number in simplest form.

A shipment of sugar fills 1010 containers. If each container holds 234 2 \frac{3}{4} tons of sugar, what is the amount of sugar in the entire shipment?\newlineWrite your answer as a mixed number in simplest form.

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Full solution

Q. A shipment of sugar fills 1010 containers. If each container holds 234 2 \frac{3}{4} tons of sugar, what is the amount of sugar in the entire shipment?\newlineWrite your answer as a mixed number in simplest form.
  1. Calculate Total Sugar: Calculate the total amount of sugar in one container. Each container holds 2(34)2\left(\frac{3}{4}\right) tons of sugar, which is equivalent to 2.752.75 tons when converted to a decimal for easier multiplication.\newlineCalculation: 2+34=2.752 + \frac{3}{4} = 2.75 tons
  2. Multiply by Number of Containers: Multiply the amount of sugar in one container by the total number of containers to find the total amount of sugar in the shipment. There are 1010 containers.\newlineCalculation: 2.75 tons/container×10 containers=27.5 tons2.75 \, \text{tons/container} \times 10 \, \text{containers} = 27.5 \, \text{tons}
  3. Convert Total Amount: Convert the total amount of sugar back to a mixed number, since the problem asks for the answer in this form.\newlineCalculation: 27.5=271227.5 = 27\frac{1}{2} tons

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