Question

A grocer has 18 kg of black tea worth $3.5 per kg. She wants to mix it with green tea worth $2.6 per kg to sell the mixture at $2.9 per kg. How much of green tea should she use?plls help

Answer 1

The grocer needs to use 36 kg of green tea

Step-by-step explanation:

Assume that the weight of the green tea used is x kg.

Based on the information given in the question:

Given:

18 kg of black tea at Rs 3.5 per kg. Thus total cost of black tea is 18 x 3.5 = Rs 63

The cost of green tea is Rs 2.6 per kg. The total cost of green tea is 2.6x

The total weight of the mixture is 18 + x kg. The total cost of the mixture is = 2.9 (18 + x)

Thus,

Total cost of black tea + total cost of green tea = Total cost of the mixture

63 + 2.6 x = 2.9 (18 + x)

63 + 2.6x = 52.2 + 2.9x

63 – 52.2 = 0.3 x

0.3 x = 10.8

X = 36

Thus, he needs to use 36 kg of green tea

Answer 2

Answer: 36 kg

Step-by-step explanation:

I do RSM and can guarantee that this is a correct answer.