i have 180 kg apples and pears. The 3/8 of the amount of apples were sold and 3/10 of pears were sold and in the total it was the 1/3 of the total amount how many apples and how many pears were in kg
Let x be the amount of apples in kilos
Then 180 - x = the amount of pears in kilos
And 1/3 of the total amount = 60 kilos.....so....
(3/8) x + (3/10) (180 - x) = 60 multiply through by the common denominator of 8 and 10, i.e., 40.....and we have
15x + 12(180 - x) = 2400 simplify
15x + 2160 - 12x = 2400
3x = 2400 - 2160
3x = 240 divide both sides by 3
x = 80 this is the kilos of apples
180 - 80 = 100 this is the kilos of pears