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2 wallets and 4 caps cost $67.90 and 5 wallets and 9 caps cost $160.25 what is the cost of 1 cap?

 Feb 5, 2021
 #1
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+1

2w + 4c = 67.90         Multiply this equation by - 2.5  (we are trying to get the 'w' to cancel out)

5w + 9c = 160.25

-5w -10c = -169.75     Now add the bottom two equations

       - c = -9.50         

           c = = $ 9.50

 Feb 5, 2021
 #2
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+1

2 wallets and 4 caps cost \(67.90\ $\ and\ 5\ wallets\ and\ 9\ caps\ cost \) 160.25 $. what is the cost of 1 cap?

 

Hello Guest!

 

\(2w+4c=67.90$\ |\ \times 5\\ \underline{5w+9c=160.25$}\ |\ \times -2\)

\(\ 10w\ +\ 20c=\ 339.50$\\ \underline{-10w-18c=-320.50$}\)  |  add

                   \(2c=19$\)

                     \(c=9.50$\)

 

The cost of 1 cap is 9.50$.

laugh  !

 Feb 5, 2021

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