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leonid [27]
3 years ago
9

The castle's gate is open 18 hours a day and must be guarded. Five knights are ordered to split each day’s guard duty equally. H

ow long will each knight spend on guard duty in one day?
Record your answer in hours.
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
3 0
The answer is 3.5 hours.
18 hours divided by 5 knights.
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Let x be the number of weeks; therefore, the two linear equations are

\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}

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Solving by substitution. Set T=C, then

\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}

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Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

6 0
1 year ago
Solve this equation with variables on both sides- 3x=5x+18 show all steps
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Hope this helps!
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