Question

PLEASE HELP, WILL MARK BRAINLIEST
Together, Ben and Charlie have 882 stamps. They use the following equations to describe the number of stamps they each have.

b + c = 882 b = 8c + 5
The solution to the pair of equations is c=97.4 Which option BEST describes this solution? Please show your work.


A) Charlie has 97 stamps and Ben has 785 stamps.

B) The solution is not reasonable because the total number of stamps must be 882.

C) The solution is not reasonable because the number of stamps must be a whole number.

D) Charlie has 98 stamps and Ben has 784 stamps.

Answer 1

Answer:

Option: C

Step-by-step explanation:

As we are given a system of equations:

b + c = 882 --(i)

b = 8c + 5 --(ii)

Having,

'b' as the number of stamps held by Ben.

'c' as the number of stamps held by Charlie.

Now,it is obvious that for any particular object that exists, there exists a smallest possible value 'unit', that when multiplied, gives greater magnitude.

For example:

If a classroom is considered, what can the minimum number of students be?

The answer is '1' as below that, there is nothing.

Now in our case, the unit(smallest value) for the number of stamps is same as in previous example, which is '1' as below that, there is nothing.

Now equation(i) shows that by adding the stamps of Ben and Charlie, a whole number(numbers without decimal) would be obtained. And that is reasonable as stamps and students can never be half or something below '1'.

Now, if we solve both equations, as:

Put the value if 'b' from equation(ii) in equation(i):

8c+5+c = 882

9c = 877

c = 97.444

And if we put 'c' in equation(i):

b+97.444=882

b = 784.555

Thus, the answers are obviously not reasonable, as stamps can never be in fractional form.

Now, the question arises that should be Round them off?

The answer is no, as by rounding off, the chances of error increases.

Consider Option:A.

If b = 785 and c = 97 then,

equation(i)=>

b+c = 882

785+97= 882

882=882

That is satisfied,

But if we put the values in equation(ii):

785 = 8(97)+5

That gives:

785 = 781

Which is obviously not true.

And same goes for option:D, and option:B is obviously not true.

Thus the answer is option:C, as the number of stamps can never be fractional.