SOLUTION: An inventory manager orders 6 batteries, 5 cases of spark plugs, and 2 dozen pairs of wiper blades, she will pay $830. If she orders 3 batteries, 7 cases of spark plugs, and 4 doz

Question 279308: An inventory manager orders 6 batteries, 5 cases of spark plugs, and 2 dozen pairs of wiper blades, she will pay $830. If she orders 3 batteries, 7 cases of spark plugs, and 4 dozen wiper blades, she will pay $820. If the batteries are $22 less than twice the price of a dozen wiper blades, what is the cost of each item in her order?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = cost of a battery
Let = cost of a case of spark plugs
Let = cost of a dozen pair of wiper blades
given:
(1)
(2)
(3)
-----------
This is 3 equations and 3 unknowns, so it's solvable
Multiply both sides of (2) by and subtract
(1) from (2)
(2)
(1)

By substitution:
(2)

And, from (3),

And, from (1)
(1)

$74 = cost of a battery
$58 = cost of a case of spark plugs
$48 = cost of a dozen pair of wiper blades
---------------------------------
check answer:
(2)

OK
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