$System of linear equations$

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$System of linear equations$

You are shopping for clothes. You should buy 2 shirts for each pair of pants. Shirts cost $\$ 25$ and pants cost $ \$30$. You have $\$200$ to spend how many shirt and pants can you buy?

Systems of Linear Equations Word Problem

Andrea K

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Let $p$ be the number of pants and $s$ be the number of shirts you will buy. Then
\[ (1) s=2p.\]
On the other hand you have $\$200$ to spend, and if you buy $s$ shirts and $p$ pants the toal will be
\[(2) 25s+30p\leq 200.\]
Substituting (1) in (2) we get
\[25(2p)+30p=200 \Rightarrow 80p \leq 200 \Rightarrow p \leq \frac{200}{80}=2.5.\]
So you can buy at most $2$ pants and $s=2\times 2=4$ shirts.

Erdos

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$System of linear equations$

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