Question

A box of 12" drafting scales weighs 3 3/4 lbs. A dealer has 20 1/2 boxes in stock. What is the total weight of the scales?

Answer 1

Answer:

$76\frac{7}{8}\ lb$

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

$3\frac{3}{4}(20\frac{1}{2})$

Convert mixed number to an improper fraction

$3\frac{3}{4}\ lb=\frac{3*4+3}{4}=\frac{15}{4}\ lb$

$20\frac{1}{2}\ boxes=\frac{20*2+1}{2}=\frac{41}{2}\ boxes$

substitute

$\frac{15}{4}(\frac{41}{2})=\frac{615}{8}\ lb$

Convert to mixed number

$\frac{615}{8}\ lb=\frac{608}{8}+\frac{7}{8}=76\frac{7}{8}\ lb$