SOLUTION: 11-1 Landscaping: A 24-ton mixture of crushed rock is needed in a construction job; it will cost $800. If the nixture is composed of rock costing $30 per ton and $40 per ton, how m
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Question 115404: 11-1 Landscaping: A 24-ton mixture of crushed rock is needed in a construction job; it will cost $800. If the nixture is composed of rock costing $30 per ton and $40 per ton, how many tons of each should be added? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A 24-ton mixture of crushed rock is needed in a construction job; it will cost $800. If the mixture is composed of rock costing $30 per ton and $40 per ton, how many tons of each should be added?
:
Let x = amt of 40/ton rock
Then
(24-x) = amt of 30/ton rock
:
A simple $$ equation:
40x + 30(24-x) = 800
:
40x + 720 - 30x = 800
:
40x - 30x = 800 - 720
:
10x = 80
:
x = 8 tons of $40 rock
then
24 - 8 = 16 tons of $30 rock
:
;
Check solution:
40(8) + 30(16)
320 + 480 = 800
