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bonufazy [111]
3 years ago
15

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
Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

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}.

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