A dessert has both fruit and yoghurt inside altogether the mass of the dessert is 185g
the ratio to the mass of fruit to the mass of yoghurt is 2:3
what is the mass of the yoghurt in grams
Answers
The ratio to the mass of Fruit to the mass of Yoghurt is 2:3.
Let us assume that the mass of Fruit be 2M and mass of Yoghurt be 3M.
A dessert has both fruit and yoghurt inside altogether the mass of the dessert is 185g.
Therefore,
Mass of Fruit = 2M = 2(37) = 74 g
Mass of Yoghurt = 3M = 3(37) = 111 g
The ratio to the mass of Fruit to the mass of Yoghurt is 2:3.
A dessert has both fruit and yoghurt inside altogether the mass of the dessert is 185g.
Substitute value of F above
On solving we get, mass of fruit = 74 g
Therefore,
Mass of Yoghurt is 111g.
Given :-
- Total Mass = 185g
- Ratio of Mass of Fruit : Mass of Yoghurt = 2:3.
Solution :-
Lets Assume That, mass of Fruit is 2x g and Mass of yoghurt is 3x g.
So,
→ Total = 2x + 3x = 185
→ 5x = 185
Dividing both sides by 5,
→ x = 37.
Hence,
→ mass of Fruit is 2x = 2*37 = 74 g.
→ Mass of yoghurt is 3x = 3*37 = 111g.
So, Mass of Yoghurt is 111g.
______________________________
Ratio Method :-
→ Mass of Fruit : Mass of Yoghurt = 2:3.
→ Total = 2 + 3 = 5 unit.
So,
→ 5 unit = 185g.
→ 3 unit = (185/5) * 3 = 111g. (Ans).