SOLUTION: HELP!!!!! Word Problem
A mail-order lacrosse equipment business shipped 120 packages one day. Customers are charged $3.50 for each standard-delivery package and $7.50 for each
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A mail-order lacrosse equipment business shipped 120 packages one day. Customers are charged $3.50 for each standard-delivery package and $7.50 for each
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Question 62750This question is from textbook College Algebra
: HELP!!!!! Word Problem
A mail-order lacrosse equipment business shipped 120 packages one day. Customers are charged $3.50 for each standard-delivery package and $7.50 for each express-delivery package. Total shipping charges for the day were $596. How many of each kind of package were shipped?
Using substitution method of solving systems of equations. Making x=number of standard-delivery packages and y=number of express-delivery packages. This question is from textbook College Algebra
You can put this solution on YOUR website! Let the number of standard delivery packages be = x
let the number of express delivery package = y
Then x + y = 120
==> y = 120 - x ---------(1) [adding -x to either side]
Cost of x standard delivery package = $3.50x
Cost of y express delivery package = $7.50y
==> 3.5x + 7.5y = 596 ---------(2)
Plugging in the value of y in the above we get..
3.5x + (7.5)(120 - x) = 596
==> 3.5x + 900 - 7.5x = 596
==> - 4x + 900 = 596
==> -4x + 900 - 900 = 596 - 900 [adding - 900 to both the sides]
==> - 4x = - 304
==> - 4x/-4 = - 304/-4
==> x = 76
So y = 120 - x
= 120 - 76
= 44
Number of standard delivery packages = 76
Number of express delivery packages = 44
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