The required number of weights used in chemical balance to weigh 237g is 4,1,1,7 respectively.
What is mathematical expression?
A mathematical expression expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Here, it is given that :
A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g.
Now, let us find the number of weights for each weight type :
For 50g weight the maximum number of weights needed will be 4 that is :
50g x 4 = 200g
Now, for 20g weight the maximum number of weights needed will be 1 that is :
20g x 1 = 20g
Now, for 10g weight the maximum number of weights needed will be 1 that is :
10g x 1 = 10g
Now, for 1g weight the maximum number of weights needed will be 7 that is :
1g x 7 = 7g
Adding all the weights we get :
200g + 20g + 10g + 7g = 237g;
which is the required weight and the number of weights used is 4,1,1,7 respectively.
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