Question

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 of yoghurt is 2:3 what is the mass of yoghurt?

Answer 1

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

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

$\frac{5}{3}y=185$

$y=185*3/5=111\ g$

Answer 2

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