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3
) A basket filled with tomatoes had a mass of 2330 g. After 3/5 the tomatoes were

taken away, the mass of the basket with the remaining tomatoes was 1550 g
What was the mass of the empty basket?

Sagot :

Answer: 1030 g

Step-by-step explanation:

Given

Mass of basket and the tomatoes is 2330 g

After [tex]\frac{3}{5}[/tex] of tomatoes were taken away, the mass with the basket is 1550 g

Suppose x is the mass of tomatoes and y is the mass of the basket

[tex]\therefore x+y=2330\quad \ldots(i)\\\\y+(1-\dfrac{3}{5})x=1550\\\\y+\dfrac{2}{5}x=1550\quad \ldots(ii)[/tex]

Solve the above equations. We get

[tex]x=1300,y=1030[/tex]

So, the mass of the empty basket is 1030 g.

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