There are two different jars in Marieta's kitchen. When empty, one weighs 360 g and the other 520 g. Marieta distributed 1 kg of beans between these pots so that their weights were equal.
The amount of beans put into the heavier pot was
A) 420 g.
B) 440 g.
C) 460 g.
D) 480 g
E) 500 g.
I saw the solutions was all the 2 diferent of my solution, and I gonna justifiy to be comprehensive:
The jar A= 360g
The jar B = 520g
The diference of weight of jars A and B is B - A = 520 - 360 = 160, so I know that one to be with the same weight of the other I need that the other have 160g more, think that way the jars are ampty and if I put 160 in A they gonna have the same weight so the 1st part of the problem is solved
2nd part of the problem how to know what went to a jar and other solving
A = B + 160, is that way A with more 160g have the same weight of the B
ATENTION I don't gonna use the weight of the jars but only the diferences of the jars, would notice if I didn't said? So I don't gonna sum the weight of the jars I gonna use only the diferences of the jars like one jar weight 0
so A + B = 1000 So the 1Kg gonna be divided among the 2 jars, replacing the equation of the 1st part:
B + B + 160 = 1000g ---> 2A = 1000 - 160 ---> B = 420g
and picking A = B + 160 ---> A = 580g
Let's test if is that right weight of A:360g+580g of beans = 940g
B:520g+420 = 940
Confirmed is correct. So the quantity in the havier jar is 420g of beans
Rute Bezerra de Menezes Gondim
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