4 years ago

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Mathematics

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Annette [7]4 years ago

5 0

The answer is the first one

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Step-by-step explanation:

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The bookstore ordered 15 Sociology work books and 10 Economy 101 textbooks on August 1st to prepare for the fall semester. After

vaieri [72.5K]

E = number of books on Economy
s = number of books on Sociology

so the order on August 1st looks like 15s + 10e = 4300
and the order on August 15th looks like 1s + 3e = 800

$\bf \begin{array}{lllll}
15s&+&10e&=&4300\\
s&+&3e&=&800
\end{array}\\\\
-------------------------------\\\\
\boxed{s}=800-3e\qquad thus
\\\\\\
15s+10e=4300\implies 15\left( \boxed{800-3e} \right)+10e=4300\qquad then
\\\\\\
12000-45e+10e=4300\implies 12000-4300=45e-10e
\\\\\\
7700=35e\implies \cfrac{7700}{35}=e\implies \boxed{220=e}
\\\\\\
now \qquad s+3e=800\implies s+3(220)=800\implies s=800-660
\\\\\\
\boxed{s=140}$

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