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A mixture of 650 nails costs $43.50. If some of the nails cost 5 cents a piece, and therest costs 7 cents a piece, how many of each are there?
Yandiel Rivera
So the total number of nails is 650, therefore:
- X + Y = 650, and 5X + 7Y = 4350
First we can solve the first equation for Y:
- Y = 650-X
Now that we know the relationship between X and Y, we can solve for one of them by substituting that value into the other equation. :
- 5X + 7Y = 4350
- 5X + 7(650-X) = 4350
- 5X + 4550 - 7X = 4350
- -2X + 4550 = 4350
- -2X=-200
- X=100
Since Y = 650-X, Y = 550.
If we plug those numbers into our original equations then we can verify the solution:
7(550) + 5(100) = 4350.
(550) + (100) = 650
Michael Scalise
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manufacturing costs, you don't need to make as many 75mm nails per kilo
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Burning old wooden boards to recover the nails and screws embedded in them.
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If a customer buys 24kg of nails at 16 cents per kg how much is the total purchase?
24 x 16 = 384
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