Mr.smith has a maximum of $50 to spend at a museum a ticket to the museum cost $7 he can spend p dollars to buy other things at
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No. We claim that 
and use algebra to prove the statement.
Let
. Multiply this by ten to get 
. Subtract the initial equation to give 
and divide by 
to see that 
. Substituting into the original equation gives , proving the desired statement.
Let