Let the amount of brand x in the mixture be x kg and the amount of brand y be y kg.
From the problem, we have the following equations:
x + y = 35 (total amount of mixture is 35 kg)
68x + 53y = 35 * 62 (total value of mixture is 35 * 62)
Solving the first equation for x:
x = 35 - y
Substitute x = 35 - y into the second equation:
68(35 - y) + 53y = 2170
2380 - 68y + 53y = 2170
-15y = -210
y = 14
Now, substitute y = 14 back into x = 35 - y:
x = 35 - 14
x = 21
Therefore, the ratio of brand x to brand y in the mixture is 21:14, which simplifies to 3:2.
A tea dealer mixes two brands of tea x and y to obtain 35 kg of the mixture worth ksh 62 per kg.If brands x is valued at ksh68 per kg and brand y ksh53 per kg. Calculate the ratio in it's simplest form in which the brands x and y are mixed
1 answer