What percentage should be added to 40 to make it 50?
explain in steps please.
Answers
Answer:
Let (x/100)(40) = what percentage
Write an equation and solve.
( x/100 )(40) + 40 = 50
40x/100 + 40 = 50
(2/5)x + 40 = 50
(2/5)x = 10
x = (5/2)(10)
x = 25% ANSWER
Check: (25/100)(40) + 40 = 50 ?
(.25)(40) + 40 = 50 ?
10 + 40 = 50 TRUE so It checks
HOPE HELPFUL!!
25% should be added to 40 to make it 50
Given : The initial number is 40 and the final number is 50
To find : The percentage of the initial number that should be added to the initial number itself, to produce the final number.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required percentage)
Let, the required percentage = x%
So, x% of 40 :
= 40 × x%
= 40 × x/100
= 2x/5
Final number :
= Initial number + x% of initial number
= 40 + (2x/5)
According to the data mentioned in the question,
40 + (2x/5) = 50
2x/5 = 50-40
2x/5 = 10
2x = 10 × 5
2x = 50
x = 50/2
x = 25
The required percentage = x% = 25%
Hence, 25% should be added to 40 to make it 50