Respuesta :

Answer:

111 grams

Step-by-step explanation:

Total mass: 185 g

The ratio of the mass of fruit to yoghurt is 2 : 3

185/5 = 37 g

37 x 3 = 111 g

r3t40

I am going to denote mass of fruit with [tex]m_f[/tex] and mass of yoghurt [tex]m_y[/tex].

We know that [tex]m_f+m_y=185\mathrm{g}[/tex] and that [tex]m_f/m_y=2/3[/tex].

We thus construct simple system of equations,

[tex]

\begin{cases}

m_f+m_y=185\mathrm{g} \\

m_f/m_y=2/3\implies m_f=\frac{2m_y}{3}

\end{cases}

[/tex]

Using substitution, we obtain,

[tex]\frac{2m_y}{3}+m_y=185\mathrm{g}[/tex]

Solving for mass of yoghurt we get,

[tex]m_y=\boxed{111\mathrm{g}}[/tex].

Hope this helps.

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