$30 \times 1.1 + 20 \times (1.1 - \frac{x}{2}) = 40 \times (x - 1.1) .$ $30 xx 1.1 + 20 xx (1.1 - x/2) = 40 xx (x - 1.1).$ How to solve for $x$ $x$ ?

Question

$30 \times 1.1 + 20 \times (1.1 - \frac{x}{2}) = 40 \times (x - 1.1) .$ $30 xx 1.1 + 20 xx (1.1 - x/2) = 40 xx (x - 1.1).$ How to solve for $x$ $x$ ?

1 Answer

Impact of this question

961 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-21T20:13:14

$x = 1.386$ $x = 1.386$

Explanation:

$30 \times 1.1 + 20 \times (1.1 - \frac{x}{2}) = 40 \times (x - 1.1)$ $color(red)(30 xx 1.1) +color(blue)(20xx(1.1-x/2)) = color(green)(40 xx (x-1.1))$

First, multiply into the brackets to get rid of them,

$3.3 + 22 - 10 x = 40 x - 44 \leftarrow$ $color(red)(3.3) +color(blue)(22-10x) = color(green)(40x-44)" "larr$ simplify

$25.3 - 10 x = 40 x - 44 \leftarrow$ $25.3 -10x = 40x-44" "larr$ isolate the $x$ $x$ -terms

$25.3 + 44 = 40 x + 10 x$ $25.3+44 =40x+10x$

] $69.3 = 50 x \leftarrow \div 50$ $69.3 = 50x" "larr div 50$ on both sides

$\frac{69.3}{50} = \frac{50 x}{50}$ $69.3/50 = (50x)/50$

$1.386 = x$ $1.386 = x$

Science

Math

Humanities

... and beyond

$30 \times 1.1 + 20 \times (1.1 - \frac{x}{2}) = 40 \times (x - 1.1) .$ $30 xx 1.1 + 20 xx (1.1 - x/2) = 40 xx (x - 1.1).$ How to solve for $x$ $x$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

30×1.1+20×(1.1−x2)=40×(x−1.1).30 xx 1.1 + 20 xx (1.1 - x/2) = 40 xx (x - 1.1). How to solve for xx?

1 Answer

Explanation:

Related questions

Impact of this question

$30 \times 1.1 + 20 \times (1.1 - \frac{x}{2}) = 40 \times (x - 1.1) .$ $30 xx 1.1 + 20 xx (1.1 - x/2) = 40 xx (x - 1.1).$ How to solve for $x$ $x$ ?