College

Write an equation. Is the given value a solution?

A farmer sees 56 of his cows out of the barn. He knows that he has 83 cows altogether. Let [tex]c[/tex] represent the number of cows still in the barn. Could [tex]c = 33[/tex]?

A. [tex]83 - c = 56[/tex]; no

B. [tex]c + 33 = 56[/tex]; yes

C. [tex]56 + c = 83[/tex]; no

D. [tex]56 + 83 = c[/tex]; no

Answer :

To solve the problem, we need to find out how many cows are still in the barn and then check if the given value, [tex]\( c = 33 \)[/tex], is correct.

1. Determine the Total Number of Cows:
- The farmer has a total of 83 cows.

2. Find Out How Many Cows Are Outside:
- It is given that 56 cows are outside the barn.

3. Calculate the Number of Cows in the Barn:
- To find the number of cows still in the barn, subtract the number of cows outside from the total number of cows:
[tex]\[
\text{Cows in the barn} = 83 - 56 = 27
\][/tex]

4. Check if the Given Value is a Solution:
- We are asked if [tex]\( c = 33 \)[/tex] could be the number of cows still in the barn.
- From our calculation, the number of cows in the barn is actually 27, not 33.

Therefore, [tex]\( c = 33 \)[/tex] is not a solution. The correct number of cows still in the barn is 27.

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