Question

A bag contain tomatoes potatoes onion in the ratio 6:9:5 if the weights of these vegetables in the bag is 2 kg find the weight of each of them

Answer 1

AnswEr :

Let the weight of tomatoes, potatoes and onions be 6n, 9n and, 5n.

$\underline{\bigstar\:\textsf{According to the Question Now :}}$

$\longrightarrow\tt Tomatoes + Potatoes + Onions = Total\\\\\\\longrightarrow\tt 6n + 9n + 5n = 2 \:kg\\\\\\\longrightarrow\tt 20n = (2 \times 1000) \:gm\\\\\\\longrightarrow\tt 20n = 2000 \:gm\\\\\\\longrightarrow\tt n = \dfrac{2000 \:gm}{20}\\\\\\\longrightarrow\tt n = 100 \:gm$

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• S P E C I F I C ⠀W E I G H T S :

◗ Tomatoes = 6n = 6(100 gm) = 600 gm

◗ Potatoes = 9n = 9(100 gm) = 900 gm

◗ Onions = 5n = 5(100 gm) = 500 gm

Answer 2

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

• A bag contains Tomatoes, Potatoes, Onion in ratio of 6:9:5
• Total Weight of Vegetables = 2 kg = 2000 g

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let, number of Tomatoes be 6x

Number of Potatoes be 9x

Number of Onions be 5x

$\small \star {\boxed{\sf{Tomatoes_{Weight} \: + \: Potatoes_{Weight} \: + \: Onion_{Weight} \: = \: Total_{Weight}}}} \\ \\ \\ : \implies {\sf{6x \: + \: 9x \: + \: 5x \: = \: 2000}} \\ \\ \\ : \implies {\sf{20x \: = \: 2000}} \\ \\ \\ : \implies {\sf{x \: = \: \dfrac{\cancel{2000}}{\cancel{2}}}} \\ \\ \\ : \implies {\sf{x \: = \: 100}} \\ \\ \\ {\boxed{\sf{\therefore \: x \: = \: 100 \: g}}}$

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Individual Weight :

$\star {\boxed{\sf{Tomatoes \: = \: 6x \: = \: 6(100) \: = \: 60 \: g}}} \\ \\ \star {\boxed{\sf{Potatoes \: = \: 9x \: = \: 9(100) \: = \: 900 \: g}}} \\ \\ \star {\boxed{\sf{Onion \: = \: 5x \: = \: 5(100) \: = \: 500 \: g}}}$