SOLUTION: Coffee costs $12 per case and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,600, what was the specific number of cases of tea?
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Question 769337: Coffee costs $12 per case and tea costs $8 per case. If an order comes in for a total of 250 cases for $2,600, what was the specific number of cases of tea?
Word problems are the most difficult for me. :-(
Thank you!
Linda Found 2 solutions by mananth, josmiceli:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! x= Coffee cases
y= Tea cases
First condition -number of cases
1 x + 1 y = 250 .............1
Total value
12 x + 8 y = 2600 .............2
Eliminate y
multiply (1)by -8
Multiply (2) by 1
-8 x -8 y = -2000
12 x + 8 y = 2600
Add the two equations
4 x = 600
/ 4
x = 150
plug value of x in (1)
1 x + 1 y = 250
150 + y = 250
y = 250 -150
y = 100
y = 100
x= 150 Coffee cases
y= 100 Tea cases
m.ananth@hotmail.ca
You can put this solution on YOUR website! Let = number of cases of coffee
Let = number of cases of tea
--------------
(1)
(2)
---------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
150 = number of cases of coffee
100 = number of cases of tea
--------------------------
check:
(2)
(2)
(2)
(2)
OK
