if p + q = 36, and p -q = 20, then q = ?

If p + q = 36, and p -q = 20, then q = B

The given question is an example of an algebraic equation that involves the use of BODMAS and the substitution method.

Let

From equation (1)

Let p = 36 - q.

Then we can substitute the value of p into equation (2)

p - q = 20

36 - q - q = 20

36 - 2q = 20

collecting the like terms

-2q = 20 - 36

- 2q = - 16

Divide both sides by (-2)

q = -16/-2

q = 8

Therefore, we can conclude that the value of q = 8

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q = 8

Step-by-step explanation:

Given the 2 equations

p + q = 36 → (1)

p - q = 20 → (2)

Add the 2 equations term by term

2p = 56 ( divide both sides by 2 )

p = 28

Substitute p = 28 into (1)

28 + q = 36 ( subtract 28 from both sides )

q = 8

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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