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# A candy clerk has three times as many kilograms of chocolate creams as peanut clusters. The clerk has 48 kg of the two candies altogether. How many kilograms of peanut clusters does the clerk have?

Solution

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Let $X=$ the kilograms of peanut clusters.

Then $Y=3X$ the kilograms of chocolate creams .

$\boxed{X+Y=48 \ \text{total kilograms.}}$

\begin{align*} X+3X&=48 && \text{Write an equation.} \\ 4X&=48 && \text{Add like terms.} \\ X&=12 && \text{Divide both sides by} \ 4. \end{align*}

The kilograms of peanut clusters does the clerk have : $\boxed{\color{#c34632}X=12 \ \text{kg}}$.

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