.50x+.05y=3.00
.25x+.1y=3.00
Leah has x half-dollars and y nickels, while James has x quarters and y dimes. Both have a total of 3$ . Compute the ordered pair(x,y).
4 answers
We have \begin{align*}
50x+5y&=300,\\
25x+10y&=300.
\end{align*}Multiplying the second equation by $2$ and subtracting it from the first equation, we find $$-15y=-300\Rightarrow y=20.$$Substituting this into the first equation, $$50x+100=300\Rightarrow x=4.$$So the answer is $\boxed{(4,20)}$.
50x+5y&=300,\\
25x+10y&=300.
\end{align*}Multiplying the second equation by $2$ and subtracting it from the first equation, we find $$-15y=-300\Rightarrow y=20.$$Substituting this into the first equation, $$50x+100=300\Rightarrow x=4.$$So the answer is $\boxed{(4,20)}$.
poop
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3 answers