Question

a tea merchant blends two varieties of tea costing her Rs 234 and Rs 130 per kg in the ratio of their costs.If the weight of the mixture is 84kg then find the weight of each variety of tea

Answer 1

# Answer-

54kg and 30kg respectively.

# Solution-

Blending is done in the ratio of cost of tea.

Thus blending will be in the ratio 234:130 = 9:5.

Consider x as common multiplier.

Total weight= 9x+5x = 14x

But given weight = 84kg.

Hence 14x=84

x=84/14

x=6.

Hence

Weight of tea with price 234 will be 9x=9×6=54kg.

Weight of tea with price 130 will be 5x=5×6=30kg.

Answer 2

Answer:

54 kg of the tea that cost Rs 234 per kg

30 kg of the tea that cost 130 kg.

Step-by-step explanation:

Let A be the tea that cost Rs 234 per kg

and B be the tea that cost Rs 130 per kg

Find the ratio of their cost:

A : B = 234 : 130

Simplify by dividing by 26:

A : B = 9 : 5

Define x:

Let x be the constant ratio

A : B = 9x : 5x

Solve x:

Given that the mixture is 84 kg

9x + 5x = 84

14x = 84

x = 6 kg

Find the weight of each variety of tea:

A = 9 x 6 = 54 kg

B = 5 x 6 = 30 kg

Answer: 54 kg of the tea that cost Rs 234 per kg and 30 kg of the tea that cost 130 kg.