SOLUTION: Ace Hardware sells boxes of wrenches ($108) and hammers ($340). Howard ordered 35 boxes of wrenches and hammers for $8,188. How many boxes of each are in the order?
Algebra ->
Expressions-with-variables
-> SOLUTION: Ace Hardware sells boxes of wrenches ($108) and hammers ($340). Howard ordered 35 boxes of wrenches and hammers for $8,188. How many boxes of each are in the order?
Log On
Question 1115744: Ace Hardware sells boxes of wrenches ($108) and hammers ($340). Howard ordered 35 boxes of wrenches and hammers for $8,188. How many boxes of each are in the order? Found 2 solutions by addingup, josgarithmetic:Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website! x + y = 35 subtract x from both sides: y = 35 - x
108x + 340y = 8,188 in this equation substitute for y:
108x + 340(35 - x) = 8,188
108x + 11,900 - 340x = 8,188
-232x = -3,712 divide both sides by -232, and remember -/- = +
x = 16
Howard bought 16 boxes of wrenches and 35-16 = 19 boxes of hammers
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check:
16(108) + 19(340) = 8,188 Correct