Use PEMDAS to find solution of the following math expression:
Suppose Blue is half filled blue
glass, Yellow is half filled yellow glass, & Red is half filled red glass,
then we can proceed as:
2Blue + Blue + 2Blue = 15
Now we add all Blue glasses to
get,
5Blue = 15
Divide both side by 5, we get:
Blue = 3
Second equation:
2Yellow – Yellow + 2Blue = 10
Subtract Yellow from 2Yellow:
Yellow + 2Blue = 10
Use value of Blue from previous
equation, Blue = 3:
Yellow + 2 x 3 = 10
Use multiplication:
Yellow + 6 = 10
Now move 6 towards RHS:
Yellow = 10 – 6
Subtract 6 from 10:
Yellow = 4
Third equation:
2Red + 2Red – Red = 6
First we need to add 2Red + 2Red
4Red – Red = 6
Now subtract Red from 4Red:
3 Red = 6
Divide both side by 3
Red = 2
Now,
We have values of Red, Blue &
Yellow glass. We need to solve the final equation:
Blue + (Blue + Red) x Yellow
= 3 + (3 + 2) x 4
Insert values of all glasses,
First we need to solve bracket
using PEMDAS.
PEMDAS stands for parenthesis,
exponentiation, multiplication, division, addition & subtract. It tells us
the order in which we need to solve operators in a given math expression.
Parenthesis has the highest degree so it should be solved first.
We get,
= 3 + (5) x 4
Multiplication has higher degree
than addition so we need to multiply first,
= 3 + 5 x 4
= 3 + 20
Finally, we need to add to get
answer:
Answer = 23
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