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cricket20 [7]
4 years ago
13

A candy maker mixed marshmallows worth $1.80 a pound with rice crisipes worth $3.20 a pound to make 50 pounds of a rice crispie

treats worth $2.92 a pound. Find the number of pounds of each item used.
Mathematics
1 answer:
Orlov [11]4 years ago
4 0
\bf \begin{array}{lccclll}
&amount&price&\textit{price per amount}\\
&-----&-----&--------\\
\textit{marshmallows}&x&1.80&(1.80)(x)\\
\textit{rice crispies}&y&3.20&(3.20)(y)\\
-----&-----&-----&--------\\
mixture&50&2.92&(50)(2.92)
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
x+y=50\implies \boxed{y}=50-x\\
1.80x+3.20y=(50)(2.92)\\
----------\\
1.80x+3.20\left( \boxed{50-x} \right)=(50)(2.92)
\end{cases}

solve for "x", to see how many lbs of marshmallows were needed

what about "y"?   well, y = 50 - x
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