Respuesta :

Answer:

[tex]76\frac{7}{8}\ lb[/tex]

Step-by-step explanation:

we know that

One box of 12'' weighs 3 3/4 lb

so

To find out the weight of 20 1/2 boxes, multiply the weight of one box by the total number of boxes

[tex]3\frac{3}{4}(20\frac{1}{2})[/tex]

Convert mixed number to an improper fraction

[tex]3\frac{3}{4}\ lb=\frac{3*4+3}{4}=\frac{15}{4}\ lb[/tex]

[tex]20\frac{1}{2}\ boxes=\frac{20*2+1}{2}=\frac{41}{2}\ boxes[/tex]

substitute

[tex]\frac{15}{4}(\frac{41}{2})=\frac{615}{8}\ lb[/tex]

Convert to mixed number

[tex]\frac{615}{8}\ lb=\frac{608}{8}+\frac{7}{8}=76\frac{7}{8}\ lb[/tex]