Question

The cost of 2 jackets and 3 skirts was sh 1800. After the cost of a jacket and that of a skirt was increased by 20%,the cost of 6 jackets and 2 skirts was sh4800,what is the new cost of a jacket and that of a skirt

Answer 1

Answer:

New cost of jacket = $1.2x=1.2\times 600=720\ \text{sh}$

New costs of skirt = $1.2y=1.2\times 200=240\ \text{sh}$

Step-by-step explanation:

Let original cost of jacket = $x$

original cost of skirt = $y$

The equation will be

$2x+3y=1800$

New cost of jacket = $1.2x$

New costs of skirt = $1.2y$

The equation will be

$6(1.2x)+2(1.2y)=4800\\\Rightarrow 7.2x+2.4y=4800$

The equations are

$2x+3y=1800$  $\times 0.8$

$7.2x+2.4y=4800$

$1.6x+2.4y=1440$

$7.2x+2.4y=4800$

Subtracting the above two equations we get

$-5.6x=-3360\\\Rightarrow x=\dfrac{3360}{5.6}\\\Rightarrow x=600$

$7.2\times 600+2.4y=4800\\\Rightarrow y=\dfrac{4800-7.2\times 600}{2.4}\\\Rightarrow y=200$

New cost of jacket = $1.2x=1.2\times 600=720\ \text{sh}$

New costs of skirt = $1.2y=1.2\times 200=240\ \text{sh}$.