# SOLUTION: Mr Arnold bought 2 watches and 4 pens for \$586. Mr Smith bought 1 watch and 3 pens for \$361. Find the cost of the pen.

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 Question 123322: Mr Arnold bought 2 watches and 4 pens for \$586. Mr Smith bought 1 watch and 3 pens for \$361. Find the cost of the pen.Answer by chitra(359)   (Show Source): You can put this solution on YOUR website!Let "w" be the watch & "p" be the pen representations. By the given data: 2w + 4p = 586 ------------------> Arnold 1w + 3p = 361 ------------------> Smith Solving both of the equations simultaneously, we find the value of the pen & the watch. 2w + 4p = 586 2w + 6p = 722 multiplied by (2) ================ Subtracting them we get: - 2p = -136 ==> p = 68 So, by back substitution we can find the value of w, watches. 1w + 3(68) = 361 1w = 361 - 204 w = 157 thus the cost of one pen is \$68 and one watch is \$157 thus the solution. regs