SOLUTION: Jamila paid $2.20 for 5 shark erasers and 1 keychain. Lucia paid $3.40 for 2 shark erasers and 6 keychains. How many cents did Hari pay for 1 shark eraser and 1 keychain?

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Question 1152152: Jamila paid $2.20 for 5 shark erasers and 1 keychain. Lucia paid $3.40 for 2 shark erasers and 6 keychains. How many cents did Hari pay for 1 shark eraser and 1 keychain?
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
Let the cost of a shark eraser be s and the cost of a keychain k. We have the system of equations, system%285s%2Bk=2.20%2C2s%2B6k=3.40%29 Dividing the second equation by two and multiplying by five gets system%285s%2Bk=2.20%2C5s%2B15k=8.50%29 Subtracting the first equation from the second gets 14k=6.30 Dividing by 14 gets k=0.45. Plugging this value in any of the equations gets you s=0.35. So a shark eraser costs 35 cents and a keychain costs 45 cents. Therefore, the solution is 35+45= highlight%28highlight_green%28highlight%2880%29%29%29 cents. Click here for a solver and click here for a different equation solving solver that uses an alternative method.