Question afe0f

Apr 14, 2017

$2.4$ lbs

Explanation:

Initial weight of mixture = $12$ lbs
Since 10% of this is banana chips; weight of banana chips in mixture = $\frac{10 \cdot 12}{100} = 1.2$ lbs

Let the weight of additional banana chips added be $\textcolor{red}{x}$ lbs.

Now the total weight of mixture becomes $12 + x$ lbs, and
the total weight of banana chips becomes $1.2 + x$ lbs.

But now the banana chips account for 25% of the mixture.

$\therefore$ $\frac{1.2 + x}{12 + x} \cdot 100 = 25$

$\implies \left(1.2 + x\right) \cdot 100 = \left(12 + x\right) \cdot 25$
$\implies 120 + 100 x = 300 + 25 x$
$\implies 75 x = 180$
$\implies x = \frac{180}{75} = \textcolor{red}{2.4}$

Hence they should add $2.4$ lbs of banana chips to bring mixture up to 25%#.