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Jo has twice as many $2 notes as $10 notes. If he has $84,
- Thread starter tom25
- Start date
Re: please i need help
Hello, tom25!
\(\displaystyle \text{Let }x\text{ = number of \$10 notes.}\)
. . \(\displaystyle \text{They have a value of: }10x\text{ dollars.}\)
\(\displaystyle \text{Then }2x\text{ = number of \$2 notes.}\)
. . \(\displaystyle \text{They have a value of: }2(2x) \:=\:4x\text{ dollars.}\)
\(\displaystyle \text{The total amount is \$84: }\:10x + 4x \;=\;84 \quad\hdots\quad There!\)
\(\displaystyle \text{Solve for }x\!:\;\;14x \:=\:84 \quad\Rightarrow\quad x \:=\:6\)
\(\displaystyle \text{Therefore, Jo has }{\bf6}\text{ ten-dollar notes.}\)
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Check
\(\displaystyle \begin{array}{cccc} \text{six \$10 notes} & = & 60 \\ \text{twelve \$2 notes} &=& 24 \\ \hline \text{Total}& & 84 \end{array}\)
Hello, tom25!
Joe has twice as many $2 notes as $10 notes.
Given that he has a total amount of $84, how many $10 notes does he have?
\(\displaystyle \text{Let }x\text{ = number of \$10 notes.}\)
. . \(\displaystyle \text{They have a value of: }10x\text{ dollars.}\)
\(\displaystyle \text{Then }2x\text{ = number of \$2 notes.}\)
. . \(\displaystyle \text{They have a value of: }2(2x) \:=\:4x\text{ dollars.}\)
\(\displaystyle \text{The total amount is \$84: }\:10x + 4x \;=\;84 \quad\hdots\quad There!\)
\(\displaystyle \text{Solve for }x\!:\;\;14x \:=\:84 \quad\Rightarrow\quad x \:=\:6\)
\(\displaystyle \text{Therefore, Jo has }{\bf6}\text{ ten-dollar notes.}\)
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Check
\(\displaystyle \begin{array}{cccc} \text{six \$10 notes} & = & 60 \\ \text{twelve \$2 notes} &=& 24 \\ \hline \text{Total}& & 84 \end{array}\)