You and your friend are saving money for a vacation. You start with the same amount and save for the same number of weeks. You save 75 dollars per week, and your friend saves 50 dollars per week. When the vacation time comes, you have 950 dollars, and your friend has 800 dollars. How much did you start with, and for how many weeks did you save? 1) 150 dollars, 8 weeks 2) 75 dollars, 3 weeks 3) 500 dollars, 5 weeks 4) 500 dollars, 6 weeks

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Pedro Hurley · Accepted Answer

We know that they start with same amount and save for vacation for the same number of weeks.One person saves 75 dollars per week and has 950 dollars at the vacation time.Another one saves 50 dollars per week and has 800 dollars at the vacation time.Mow, let x be the starting amount and y be the number of weeks.Thus, we have:  x  +  75  y  =  950 (1)  x  +  50  y  =  800 (2)Solve both equations   x  +  75  y  −  (  x  +  50  y  )  =  950  −  800  x  +  75  y  −  x  −  50  y  =  950  −  800  25  y  =  150  y  =      150    25    y  =  6 weeksSubstitute   y  =  6 in equation (1) and obtain the value of x  x  +  75  y  =  950  x  +  75  (  6  )  =  950  x  +  450  =  950  x  =  950  −  450  x  =  500 dollarsThus, the Option 4 is correct

You and your friend are saving money for a vacation. You start with the same amount and save for the

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