Question 781329
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Let the number of boxes with clothes be x
Then the number of boxes with books is 20 - x
Each cloth box weighs 40 lb and book box weighs 7 lb
Total weight of cloth boxes = 40*x
Total weight of book boxes = (20 - x)*7 = 140 - 7*x
Given that the total weight is 404 lb. We have the equation
{{{40*x + 140 - 7*x = 404}}}
{{{33*x = 404 - 140 = 264}}}
{{{x = 264/33 = 8}}}
So the number of boxes with clothes = {{{highlight(8)}}}
Number of boxes with books = 40 - 8 = {{{highlight(32)}}}
:)
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