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Is this an algebraic equation. Here it is.

Randy was counting mangoes in a basket. After counting 2/5 of the mangoes, his cellphone rang and he answered it. Then, he continued to count. After counting 20 more, he still had 1/2 of the mangoes to count. How many mangoes were there in the basket.

Effort: $N$ is the number of mangoes in the basket. Then: $$ (2/5) N + 20 $$

Any links to your answer will be highly appreciated. To be honest I need a detailed answer here so if you can type down your solution kindly do so.

Sorry to sound a bit demanding but I know internet can help me.

Thank You!

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The question says "After counting 2/5 of the mangoes, his cellphone rang and he answered it. Then, he continued to count. After counting 20 more, he still had 1/2 of the mangoes to count". This means that 2/5 of mangoes plus 20 mangoes is equal to half the mangoes (because if he has 1/2 mangoes left to count he has counted 1/2 mangoes). This can be expressed as 2/5x + 20 = 1/2x which is 4/10x+20=5/10x (finding a common denominator and expressing the amount of mangoes as a variable, x). As a result, 1/10x = 20. x = 200.

We can check our answer by plugging in 200 to the original equation, 2/5(200)+20=1/2(200) which can be simplified to 80+20=100, since 80+20 does equal 100 we can verify that There were 200 mangoes in the basket

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  • $\begingroup$ I know that it says that I should not post thanks here and I should not put link but kindly take time Sir/Ma'am to check my own understanding I also ask in other sites. But I would like to show you how I answer it also. drive.google.com/file/d/1HlzyMq-pXO7hjhALYTxw4Mon0ugMGgr5/… I am really grateful to your answer. Spare me with my kind of comment. Thanks really. $\endgroup$ Commented Jul 23, 2018 at 14:31
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Adding 20 mangoes to 40 percent of the mangoes equal half the number of mangoes: $\frac{2}{5}N + 20 = \frac{1}{2}N$

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    $\begingroup$ Here you could get away with decimal fractions, as you probably can invert $0.1$ without pocket calculator or Wolfram Alpha on your smart device. In general fractions are more suited for calculations involving algebraic transformation steps. $\endgroup$
    – mvw
    Commented Jul 23, 2018 at 14:17
  • $\begingroup$ @mvw Some people prefer using fractions. Why does it matter? $\endgroup$
    – Sambo
    Commented Jul 23, 2018 at 14:24
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    $\begingroup$ @Sambo the original comments were deleted. I used decimals first, and mvw suggested I change to fractions. I asked why, above is their response :) $\endgroup$ Commented Jul 23, 2018 at 14:28
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    $\begingroup$ Oh, sorry! I misinterpreted the comment $\endgroup$
    – Sambo
    Commented Jul 23, 2018 at 19:09

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