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A gym instructor has a total of 60 hand weight in her studio. Some of the hand weights are 3 pound weights and the rest are 5 pound weights. If there are 10 more 5-lb weights than 3-lb weights, then how many of each kind does she have?

 Jan 24, 2020
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Let  x  =  number of 3-lb weights

Then  x + 10  =  number of 5-lb weights

 

Since there are a total of 60:  x + (x + 10)  =  60

                                                 x + x + 10  =  60

                                                      2x + 10  =  60

                                                               2x  =  50

                                                                x  =  25  (number of 3-lb weights)

                                                         x + 10  =  35  (number of 5-lb weights)

 Jan 24, 2020

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