Respuesta :

fruit : yoghurt : total
2 : 3 : 2 + 3
2 : 3 : 5

5 parts = 185
1 part = 185 ÷ 5 = 37
3 parts = 37 x 3 = 111g

The mass of the yoghurt is 111g

The mass of the fruit is 74 grams and the mass of the yoghurt is 111 grams.

Given :

  • Total mass of the desert is 185 g.
  • The ratio of the mass to fruit to the mass of yoghurt is 2:3.

Solution :

  • This question is solved by making a linear equation in one variable. Linear equations are nothing but yet another subset of "equations".
  • Any linear calculations requiring more than one variable can be done with the help of linear equations.
  • The standard form of a linear equation in one variable is of the form ax + b = 0. Here, x is a variable, and a and b are constants.

Now to form a linear equation first let x be the mass in gram. Than total mass of the desert is given by:

[tex]3x+2x=185[/tex]

[tex]5x = 185[/tex]

[tex]x = \dfrac{185}{5}[/tex]

x = 37 grams

Therefore the mass of the fruit = [tex]2 \times 37[/tex] = 74 grams and the mass of the yoghurt = [tex]3\times 37[/tex] = 111 grams.

For more information, refer the link given below

https://brainly.com/question/12420841

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