Five Times a numbers divided by 203
is equal to 108 . what is The mumber?
Answers
Answer:
5x/203=108. X/ 203=108/5. X=108*203/5. X=4034.8
Answer:Explanation:
So the first part of the question: "Five times a number is 375." is actually saying: "Some number multiplied by 5 is equal to 375", which looks like this:
x
⋅
5
=
375
Which is the same as:
5
x
=
375
The second part of the problem: "What is the number?" tells us that they want us to solve for
x
. We can do this by dividing both sides of our equation (
5
x
=
375
) by 5, which looks like this:
5
x
=
375
=
5
x
5
=
375
5
Lucky for us 375 is divisible by 5 (the divisibility rule for 5 states: any number is divisible by 5 if it ends in a 0 or 5) which means we will get a whole number as opposed to a fraction or decimal.
We can solve this with mental math if we remember that:
5
⋅
20
=
100
and that:
5
⋅
5
=
25
If we add the 20 and the 5 together we get 25:
20
+
5
=
25
Now if we multiply 25 by 5 we get 125 (This is the same as adding 100 and 25!). So this means that:
5
(
20
+
5
)
=
(
100
+
25
)
This means that:
5
⋅
25
=
125
125 just so happens to be 3 times smaller than our target number:
375
125
=
3
This means that we can multiply 25 by 3 to solve for
x
.
25
⋅
3
=
75
And there you have it! I hope that helped!
Answer link
Step-by-step explanation: