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Ierofanga [76]
3 years ago
8

Select the equation that most accurately depicts the word problem.

Mathematics
2 answers:
Scrat [10]3 years ago
6 0

Answer:

B. x + (x+2) = 30

Step-by-step explanation:

If x equals pennies, then one part of the statement should include an addition of 2, along with the additions of the value of pennies; and it should all equal 30.

cestrela7 [59]3 years ago
6 0

Answer:

B. x + (x + 2) = 30

Step-by-step explanation:

x = number of pennies

y = number of nickels

x + y = 30

y = 30 - x

She has two more nickels then pennies, therefore:

y = x + 2

30 - x = x  + 2

30 = x + x + 2

x + (x + 2) = 30

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alexira [117]
\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{5\% alloy}&x&0.05&0.05x\\
\textit{30\% alloy}&y&0.30&0.30y\\
-----&-----&-------&-------\\
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\end{array}

so hmm notice, we use the decimal format for the percent, namely 15% is just 15/100 and 5% is just 5/100 and so on

whatever the amounts of "x" and "y" are, they must add up to 100 grams
thus x + y = 100

and whatever the concentrated amounts are, they'll add up to (100)(0.15)

thus     \bf \begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.05x+0.30y=(100)(0.15)\\
----------\\
0.05x+0.30\left( \boxed{100-x} \right)=(100)(0.15)
\end{cases}

solve for "x", to see how much 5% alloy will be needed

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