Ken purchases 5 boxes of flooring and 3 pints of sealant for $70.75. Jenna buys 6 boxes of flooring and 4 pints of sealant for $86.00. How much more does a box of flooring cost than a pint of sealant?

Question

mathmath333 · Answer

$\large\tt \begin{align} \color{black}{5b+3p=70.75\~\
6b+4p=86\~\
}\end{align}$

solve both equations

find $\large b$ and $\large p$

$\large b-p$ will be the answer

anonymous · Answer

How do I find b and P ?

mathmath333 · Answer

$\large\tt \begin{align} \color{black}{
6b+4p=86--A\~\
3b+2p=43\~\
3b=43-2p\~\
\bf b=\dfrac{43-2p}{3}\~\

\tt 5b+3p=70.75--B\~\
\tt 5(\dfrac{43-2p}{3})+3p=70.75
}\end{align}$

mathmath333 · Answer

now solve for $\Large p$

mathmath333 · Answer

then after finding $p$
put its value in $\Large A$

and find $b$