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A bag contains tomatoes that are either green or red. The ratio of green tomatoes to red tomatoes in the bag is 4 to 3. When five green tomatoes and five red tomatoes are removed, the ratio becomes 3 to 2. How many red tomatoes were originally in the bag

Respuesta :

ajeigbeibraheem

There are 15 red tomatoes that were originally placed in the bag.

What are word problems in mathematics?

Word problem in mathematics is a way of solving real-life problems by the use of mathematical variables, arithmetic operations, fractions, etc.

From the information given:

The ratio of green tomatoes to that of the red ones in the bag for some given integer value of "x" is:

[tex]\mathbf{\dfrac{4x}{3x}= \dfrac{4}{3} }[/tex]

Required:

To solve the equation;

4x - 5 = 3

3x - 5 = 2

By cross multiplying, we have:

2(4x - 5) = 3(3x - 5)

8x - 10 = 9x - 15

Collect like terms

8x - 9x = - 15 + 10

-x = - 5

x = 5

Therefore, we can conclude that the number of red tomatoes (3x) that are in the bag is (3×5) = 15 tomatoes.

Learn more about word problems here:

https://brainly.com/question/21405634

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