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Marianna [84]
3 years 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:
Sloan [31]3 years ago
8 0

Answer:

The mass of yogurt is 111\ g

Step-by-step explanation:

we have that

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

and

The mass of the desert is 185\ g

Let

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

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

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

we know that

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

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

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

Substitute equation B in equation A

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

\frac{5}{3}y=185

y=185*3/5=111\ g

Aleks04 [339]3 years 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 mass of the yoghurt is 111g

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