SOLUTION: Corporation Wally Mart allows each of its traveling employees an amount of money per day for a hotel room and food expenses. One employee travels for 4 days and 4 nights and is al

Question 124905: Corporation Wally Mart allows each of its traveling employees an amount of money per day for a hotel room and food expenses. One employee travels for 4 days and 4 nights and is allotted $480 while another employee travels for 3 days and 2 nights and is allotted $270. a) Give the system of equations for solving this situation. b) Find the amount allowed for a hotel room and daily food expenses
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = daily amt of hotel
Let y = daily amt for food
:
a) Give the system of equations for solving this situation.
:
Write an equation for each statement:
:
"One employee travels for 4 days and 4 nights and is allotted $480"
4x + 4y = 480
:
" another employee travels for 3 days and 2 nights and is allotted $270."
2x + 3y = 270
:
:
b) Find the amount allowed for a hotel room and daily food expenses
:
Multiply the 2nd equation by 2 and subtract the 1st equation from it
4x + 6y = 540
4x + 4y = 480
------------------subtracting eliminates x, find y
0x + 2y = 60
y =
y = $30 a day for food
:
Find x, substitute 30 for y in the 1st equation
4x + 4(30) = 480
4x + 120 = 480
4x = 480 - 120
4x = 360
x =
x = $90 a night for hotel
:
Check solutions in the 2nd equation, substitute for x and y
2(90) + 3(30) =
180 + 90 = 270 as given
:
Did I explain this so you could understand what we did here? Any questions?
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