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29 August, 17:46

A dessert has both fruit and yoghurt inside.

Altogether, the mass of the dessert is 185g.

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

What is the mass of the yoghurt?

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  1. 29 August, 18:01
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    note: f=fruit

    y=yoghurt

    2:3

    f : y

    f/y=2/3

    => 3*f=2*y

    f = (2*y) / 3

    we know that f+y=185g

    (2*y) / 3+y=185g

    (2*y+3*y) / 3=185g

    5*y/3=185

    y = (185*3) / 5

    y=111g

    =>the mass of the yoghurt is 111 g
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