SOLUTION: Softee Blankets charges $6 for shipping orders of $20 or less, $10 for orders from $20.01 to $70, and $15 for orders over $70. One week shipping charges for 540 orders totaled $532

Question 435654: Softee Blankets charges $6 for shipping orders of $20 or less, $10 for orders from $20.01 to $70, and $15 for orders over $70. One week shipping charges for 540 orders totaled $5320. There were 50 more orders for $20 or less shipped than there were orders for over $70. Find the number of orders shipped at each rate.
So far I've got
x+y+z=31
50x-z=0
6x+10y+15z=?
I'm just having problems finding the third system. The result always comes out negative and you can't sell a negative amount of items so somewhere I messed up I just don't know where.
Answer by rwm(914) (Show Source): You can put this solution on YOUR website!
Where did the 31 come from? Oh I see you added the dollar amounts of the charges.6,10,15-
Why are you multiplying 50 times x? It says 50 more not 50 times. Plus it is x that is more than z so you have to add to z to get it to equal x.
At least you tried.
Here you go.
x+y+z=540
x=z+50
6x+10y+15z=5320
Solve these equations to get your three values.
x=170
y=250
z=120
RELATED QUESTIONS
Could someone help me with his word problem? Solve by any method and show equations... (answered by Nate)

A mail-order company charges $4 for shipping orders of less than $50, $6 for orders from... (answered by solver91311)

I have been working and reworking this problem all night and day; please help if... (answered by Paul)

shipping charges at an online bookstore are $4 for one book, $6 for two books and $7 for... (answered by ccs2011)

The ABC Shipping Company charges $290 for all packages weighing less than or equal to... (answered by ikleyn)

An internet bookstore charges ₱15 shipping for orders under ₱100, but... (answered by Edwin McCravy)

Having issues with this problem. Movie Star Theatre charges $6.00 for a box of popcorn... (answered by ewatrrr)

a fruit shake stand sells banana and mango shakes. to be profitable, it must sell at... (answered by ikleyn)

Working together, Joanne, Kent, and Geoff can process 504 orders per day for their... (answered by ankor@dixie-net.com)