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A cashier had 98 pieces of 20 notes and 50 notes in a drawer she took out 34 of the 50 notes and put in another 10 20 notes as a result the number of the 20 notes was 5 times the number of 50 notes wh?
Wiki User
∙ 15y ago
Call the number of 20 notes x
Call the number of 50 notes y Then we are given X+y=98 and x+10 = 5*(y-34) rearrange both equations so they both equal zero x+y-98=0 and x+10-5y+170=0 We can now say x+y-98 = x+10-5y+170 Subtract x from both sides y-98 = 10-5y+170 = 180-5y 6y=180+98 y= 278/6 = 46.3333 x=98-y = 51.6666 Basically we are using simultaneous equations. We could have found x independently by making both equations = y so y= 98-x and y =(-170-10)/-5 +x = 180/5 + x/5 = 36 +x/5 so 98-x = 36 + x/5 490-5x = 180 +x x = 310/6 = 51.6666 Unfortunately this is a bad question because notes usually come in whole numbers. However, if you substitute the number 98 with the number 96, it works out perfectly.
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∙ 15y ago
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