A candy store merchant sells 25 kg of ju-jubes for $3.00/kg. If he uses one brand selling for $2.25/kg and a second brand selling at $3.75/kg, how much of each brand is required?

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A candy store merchant sells 25 kg of ju-jubes for $3.00/kg. If he uses one brand selling for $2.25/kg and a second brand selling at $3.75/kg, how much of each brand is required?

1 Answer

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Answer 1 · 2017-05-05T11:00:54

$12.5$ $12.5$ kg of each brand is required.

Explanation:

Method 1)
Average of selling prices of brand $1 ($ 2.25)$ $1 ($2.25)$ and brand $2 ($ 3.75)$ $2 ($3.75)$ is $\frac{3.75 + 2.25}{2} = $ 3.0$ $(3.75+2.25)/2 = $3.0$ which is also original one $$ 3$ $$3$ .
So $\frac{25}{12} = 12.5$ $25/12=12.5$ kg of each brand is required.

Method 2)

Let quantity of brand 1 required is $x$ $x$ kg and quantity of brand 2 required is $y$ $y$ kg.

So $x + y = 25 or x = 25 - y$ $x+y =25 or x=25-y$ (1) and $x \cdot 2.25 + y \cdot 3.75 = (25 \cdot 3) or 2.25 x + 3.75 y = 75$ $x*2.25+y*3.75 = (25*3) or 2.25x + 3.75 y =75$ (2) or $2.25 (25 - y) + 3.75 y = 75$ $2.25(25-y) +3.75 y =75$
or $56.25 - 2.25 y + 3.75 y = 75$ $56.25 - 2.25y +3.75y =75$ or
$1.5 y = 75 - 56.25 = 18.75 or y = \frac{18.75}{1.5} = 12.5$ $1.5y=75-56.25 =18.75 or y= 18.75/1.5 = 12.5$ kg $:. x=25-y=25-12.5=12.5$ kg.

So $12.5$ kg of each brand is required. [Ans]

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A candy store merchant sells 25 kg of ju-jubes for $3.00/kg. If he uses one brand selling for $2.25/kg and a second brand selling at $3.75/kg, how much of each brand is required?

1 Answer

Explanation:

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