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
Algebra.Com
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
Answer by uma(370) (Show Source): 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
Good Luck!!!
RELATED QUESTIONS
(1 point) A business shipped 116 packages one day. Customers are charged $4.50 for each... (answered by jorel555)
Could someone help me with his word problem?
Solve by any method and show equations... (answered by Nate)
If someone could show me how to get started - I would so greatful! Here is the whole... (answered by stanbon)
A mail-order company charges $4 for shipping orders of less than $50, $6 for orders from... (answered by solver91311)
I have many word problems to solve that are similar to this one, but I need help with the (answered by ankor@dixie-net.com)
16) Albert and Jack are selling flower bulbs for a school fundraiser. Customers can buy... (answered by mananth,MathTherapy)
Statistics Parametric and Nonparametric Data Identification Assignment
I need help... (answered by stanbon)
I really need help with a word problem. Please help:
Lacrosse. A regulation lacrosse... (answered by abcdefg)
7% of the customers did not receive delivery
If a sample of 50 customers is selected... (answered by swincher4391)