waigaK

2021-08-18

Twelve gallons of a salt solution consists of

Lacey-May Snyder

Skilled2021-08-19Added 88 answers

Step 1

Given system is$x+y=12\left(1\right)$

$0.55x+0.25y=0.35\left(12\right)\left(2\right)$

We solve this system using substitution

Step 2

From$\left(1\right)y=12-x\left(3\right)$

We substitute$y=12-x$ in (2) we get

$0.55x+0.25(12-x)=0.35x\left(12\right)$

$\Rightarrow 0.55x+3-0.25x=4.2$

$\Rightarrow 0.3x=4.2-3$

$\Rightarrow 0.3x=1.2$

$\Rightarrow x=\frac{1.2}{0.3}=\frac{\frac{12}{10}}{\frac{3}{10}}=\frac{12}{10}\times \frac{10}{3}=4$

From (3)$y=12-4=8$

Hence the solution$(x,y)=(4,8)$

Given system is

We solve this system using substitution

Step 2

From

We substitute

From (3)

Hence the solution

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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