Question

A grocer has two kinds of candies, one selling for 40 cents a pound and the other for $1.40 per pound. How many pounds of each kind must he use to make 100 pounds worth 85 cents a pound?

Answer 1

Answer:

The quantity of grocer of price $1.40 is 45 pounds

The quantity of grocer of price 40 cents is 55 pounds  

Step-by-step explanation:

Given as :

Let The quantity of one grocer = x pound

Let The quantity of other grocer = y pound

The selling price of x grocer = 40 cents per pound

The selling price of y grocer = $ 1.40 per pound = 1.40 × 100 = 140 cents

Total quantity = 100 pounds

Total price of both grocer = 85 cents

According to question

x + y = 100                        .........A

And

40 × x + 140 y = 85 × 100

Or, 40 x + 140 y = 8500         ........B

Solving eq A and eq b

(40 x + 140 y) - 40 × ( x + y ) = 8500 - 40 × 100

Or, (40 x - 40 x) + (140 y - 40 y) = 8500 - 4000

or, 0 + 100 y = 4500

∴  y = $\dfrac{4500}{100}$

i.e  y = 45 pounds

So, The quantity of grocer of price $1.40 = y = 45 pounds

Again

Put the vaue of y in eq A

x + y = 100

i.e x = 100 - y

or, x = 100 - 45

∴   x = 55 pounds

So, The quantity of grocer of price 40 cents = x = 55 pounds

Hence, The quantity of grocer of price $1.40 is 45 pounds

And The quantity of grocer of price 40 cents is 55 pounds  Answer

Answer 2

Answer:

The answer is 140 cents