Agym instructer has a total of 60 hand weights in her studio. some of the hand weights are 3 pound weights and the rest are 5 pound weights. if their are 10 more 5-lb weights , than how many of each kind does she have?

Let's imagine that x is the number of 3 pound weights that the gym instructer has.

Since we know that there are 10 more 5 pound weights, which tells us that the number of 5 pound weight is x + 10, and the total amount is 60 hand weights, we have:

x + x + 10 = 60

2x            = 60 - 10

2x            = 50

x              = 50/2 = 25

So there are 25 3 pound weights at the gym.

From the number we have just found, we also know that the number of the 5 pound weights should be:

60 - 25 = 35 (hand weights)

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