Solve arithmetic math expression after finding unknown:
This is an arithmetic math expression
with unknown variables. First we need to find the value of variables &
solve.
Every object / item in this
picture has a specific value. We need to use the value of known variables in
equations to find the unknown variables.
Everything is very simple. First
of all, we have 3 horses. We need to find value of a single horse, let’s
proceed:
First equation:
Horse + Horse + Horse = 30
3 Horse = 30
Divide both side by 3
3/3 Horse = 30 / 3
Horse = 10
Second equation:
Horse + 2 x Stable + 2 x Stable =
18
Horse + 4 x Stable = 18
4 x Stable = 18 – Horse
Apply Horse value:
4 x Stable = 18 – 10
4 x Stable = 8
Stable = 2
Third equation:
2 x Stable – 2 x Shoe = 2
2 x Stable = 2 + 2 x Shoe
2 + 2 x Shoe = 2 x Stable
2 x Shoe = 2 x Stable – 2
Apply value of Stable:
2 x Shoe = 2 x 2 – 2
2 x Shoe = 4 – 2
2 x Shoe = 2
Shoe = 1
4th equation:
Shoe + Horse x Stable = ?
Apply values of Shoe, Horse &
Stable:
= 1 + 10 x 2
This is an arithmetic expression,
which can be solved by PEMDAS.
Let me explain PEMDAS first,
PEMDAS is an acronym of Parenthesis,
Exponent, Multiplication, Division, Addition & Subtraction. We need to
follow the order of PEMDAS. First we need to solve parenthesis that has the
highest priority. Then exponent must be solved that has lower priority than
parenthesis. Multiplication & Division comes later & they have the same
priority but needs to be solved from left to right. Like if an expression has
both multiplication & division, then we need to solve the operator from
left to right. Like if division comes in expression before multiplication then
we need to solve division first. Lastly we have addition & subtraction,
& they have same priority too. So we need to solve the operator from left
to right.
Now we know about PEMDAS, let’s
solve this expression:
= 1 + 10 x 2
We need to solve multiplication
first as it has higher priority:
= 1 + 20
= 21 (Answer)
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