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