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nata0808
2 months ago
14

a desert has both fruit and yogurt inside altogether the mass of the desert is 185g the ratio of the mass to fruit to the mass o

f yoghurt is 2:3 what is the mass of yoghurt?
Mathematics
2 answers:
Zina [12.3K]2 months ago
8 0

Response:

The weight of the yogurt is 111\ g

Detailed explanation:

We know that

The mass ratio of fruit to yogurt is 2:3

and

The total mass of the dessert is 185\ g

Let

x------> the mass of fruit

y------> the mass of yogurt

(x+y)----> the mass of the dessert

we know that

x+y=185 ------> equation A

\frac{x}{y}=\frac{2}{3}

x=\frac{2}{3}y -----> equation B

Substituting equation B into equation A

(\frac{2}{3}y)+y=185

\frac{5}{3}y=185

y=185*3/5=111\ g

Svet_ta [12.7K]2 months ago
6 0
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 weight of the yoghurt is 111g

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