Question

A salesman mixed two kinds of candies worth $1.25 and $1.6 a pound, respectively. He made a mixture of 70 pounds to sell at $1.4 a pound. How many pounds of each did he use?

Answer 1

The quantity of first candid used is 40 pound

The quantity of second candid used is 30 pounds .

Explanation:

Given as :

The price of first candies = $1.25

The price of second candid = $1.6

The amount of mixture of first candid and second candid = 70 pounds

The price of mixture = $1.4 a pound

Let The quantity of first candid used = x pound

Let The quantity of second candid used = (70 - x) pounds

Now, According to question

Quantity of first candid × price of first candid + quantity of second candid × price of second candid = quantity of candid mixture × price of candid mixture

Or, x pounds × $1.25 + (70 - x) pound × $1.6 = 70 pound × $1.4

Now,Solving this equation

or, 1.25 x + 1.6×70 - 1.6 x = 1.4 × 70.

or, 112 - 98 = 1.6 x - 1.25 x

or, 14 = 0.35 x

∴ x =
`(14)/(0.35)`

i.e x = 40 pounds

So,The quantity of first candid used = x = 40 pound

And The quantity of second candid used = (70 - 40) = 30 pounds

Hence, The quantity of first candid used is 40 pound

The quantity of second candid used is 30 pounds . Answer