Question

A gym owner has some purple weights and some white weights. The purple weights are 10 kilograms each, and the white weights are 6 kilograms each. The owner has 12 weights, and they weigh 84 kilograms in all. How many of each colour weight does he have?

Answer 1

Answer: $3,9$

Step-by-step explanation:

Given

A gym owner has purple and white weights that measure 10 kg and 6 kg each

respectively.

They weigh 84 kg in total

suppose there x purple and y white weights

$\therefore x+y=12\quad \ldots(i)\\\Rightarrow 10x+6y=84\quad \ldots(ii)\\\\\text{Solving }(i)\ \text{and }(ii)$

$x=3,\ y=9$

Thus, there are 3 purple and 9 white weights.