Which one is the better option and why need at least four sentences explaining which option is better please someone help

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

7 0

9514 1404 393

Answer:

Option B

Step-by-step explanation:

The cost of 6 turkeys at $1 per pound will be between $78 and $90. The cost of 6 turkeys at $20 each, B2G1, will be $80. We imagine that the average weight of turkeys in the 13-15 lb range will usually exceed 13 1/3 pounds, the weight at which the cost per pound is the same. That means, 6 turkeys at $1 per pound will likely cost more than $80, unless extreme effort is made to choose only the lightest turkeys.

Option B is likely to be cheaper; certainly so, if heavier turkeys are preferred.

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How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?

beks73 [17]

So, how much acid is there in 6 gallons? well is 20% acid or (20/100), so the amount of acid in it just (20/100) * 6 or 1.2, the rest is say water.

now, if we want a 90% solution, and say we add "y" gallons, how much acid is in it? well (90/100) * y, or 0.9y.

now let's add "x" gallons of pure acid, now, pure acid is just pure acid, so is 100% acid, how much acid is there in it? (100/100) * x, or 1x or just x.

we know whatever "x" and "y" amounts are, they -> x + 6 = y

and we also know that x + 1.2 = 0.9y

$\bf \begin{array}{lccclll}
&\stackrel{gallons}{acid}&\stackrel{acid~\%}{quantity}&\stackrel{acid~gallons}{quantity}\\
&------&------&------\\
\textit{pure acid}&x&1.00&x\\
\textit{20\% sol'n}&6&0.20&1.2\\
------&------&------&------\\\
mixture&y&0.90&0.9y
\end{array}
\\\\\\
\begin{cases}
x+6=\boxed{y}\\
x+1.2=0.9y\\
----------\\
x+1.2=0.9\left( \boxed{x+6} \right)
\end{cases}
\\\\\\
x+1.2=0.9x+5.4\implies x-0.9x=5.4-1.2\implies 0.1x=4.2
\\\\\\
x=\cfrac{4.2}{0.1}\implies x=\stackrel{gallons}{42}$

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Let's make an equation. T will be the number.
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