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On Monday, a person mailed 8 packages weighing an average of 1238 pounds and on Tuesday, 4 packages weighing an average of 1514 pounds. What was the average weight, on pounds, of all the packages the person mailed on both days?

On Monday, a person mailed 8 packages weighing an average of 1238 pounds and on Tuesday, 4 packages weighing an average of 1514 pounds. What was the average weight, on pounds, of all the packages the person mailed on both days? Correct Answer 1313

Total weight of packages mailed on the 1st day = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>12</mn><mfrac><mn>3</mn><mn>8</mn></mfrac><mo>&#xD7;</mo><mn>8</mn><mo> = </mo><mn>99</mn><mo>&#xA0;</mo><mi>p</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>s</mi></math>Total weight of packages mailed on the 2nd day = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mn>15</mn><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>&#xD7;</mo><mn>4</mn><mo> = </mo><mn>61</mn><mo>&#xA0;</mo><mi>p</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>s</mi></math><math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo></math> Average weight = <math xmlns = "http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>99</mn><mo> + </mo><mn>61</mn></mrow><mrow><mn>8</mn><mo> + </mo><mn>4</mn></mrow></mfrac><mo> = </mo><mn>13</mn><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>&#xA0;</mo><mi>p</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>s</mi></math>

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