how many times 1/8 should be added to of 1/8 so that the sum is 5 ?
A)13
B)16
C)39
D)40
THE ANSWER MUST BE WITH EXPLANATION ..........……
NOTE : CORRECT ANSWER WITH EXPLANATION WOULD BE MARK AS BRAIN LIST
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Answers
Answer:
39 times
Step-by-step explanation:
Let x times 1/8 be added to 1/8 .
A/Q
x×1/8+1/8=5
=>x/8+1/8=5
=>x+1/8=5
=>x+1=40
=>x=40-1
=>x=39
So,39 times 1/8 is added to 1/8
Question :--- how many times 1/8 should be added to 1/8 so that the sum is 5 ?
Solution :---
Let us assume that, we add x time 1/8 into 1/8 , than their sum becomes 5 .
So,
→ ( x times 1/8 ) + 1/8 = 5
[ Times :- It is used to show the difference in amount of two things, by multiplying one of them by the stated number ]
→ ( x * 1/8 ) + 1/8 = 5
Taking 1/8 on Right Hand side and changing sign now,
→ x/8 = 5 - 1/8
Taking LCM now , in RHS
→ x/8 = (5*8 - 1)/8
→ x/8 = 39/8
8 will be cancel From both Denominator now,
So, we get,
→ X = 39 .
Hence, If we add 39 times 1/8 into 1/8 we get 5 as sum .
_____________________________
Verification :---
→ (39 Times 1/8) + 1/8
→ (39 * 1/8) + 1/8
Taking 1/8 Common now,
→ 1/8 * [ 39 + 1 ]
→ 1/8 * 40