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three bags of sweets weigh 27/4 kg. two of them have the same weight and the third bag is heavier than each of the bags of equal weight by 6/5 kg. find the weight of each bag. i do not get it please explain

Sagot :

I'm here buddy,

so, let's take the value of the two bags with equal weight as x.

=     x + x + (x + [tex]\frac{6}{5}[/tex]) = [tex]\frac{27}{4}[/tex]

=     3x + [tex]\frac{6}{5}[/tex] = [tex]\frac{27}{4}[/tex]

=     3x = [tex]\frac{27}{4}[/tex] - [tex]\frac{6}{5}[/tex]

( let's take the LCM of 4 and 5 = 20

=     3x = [tex]\frac{135}{20}[/tex] - [tex]\frac{24}{20}[/tex]

=     3x = [tex]\frac{111}{20}[/tex]

=       x = [tex]\frac{111}{20}[/tex] ÷ [tex]\frac{3}{1}[/tex] = [tex]\frac{111}{20}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{37}{20}[/tex]

So, the weight of the equal bags are [tex]\frac{37}{20}[/tex] and the weight of the third bag ( heavy one ) is [tex]\frac{37}{20}[/tex] + [tex]\frac{6}{5}[/tex] = [tex]\frac{37}{20}[/tex] + [tex]\frac{24}{20}[/tex] = [tex]\frac{61}{20}[/tex]

1st bag =     [tex]\frac{37}{20}[/tex] kg

2nd bag =  [tex]\frac{37}{20}[/tex] kg

3rd bag =   [tex]\frac{61}{20}[/tex] kg

Hope it helps...