Question

3 jackets 2 skirts is $305, 1 jacket 4 skirts is $250. What is the cost of a jacket and a skirt?

Answer 1

Answer:

The cost of a jacket is 72 dollars and the cost of one skirt is 44.5 dollars.

Step-by-step explanation:

Let the price of one jacket be 'x' dollars and the price of one skirt be 'y' dollars.

Given, 3x + 2y = 305..(i)

         &  x + 4y = 250...(ii)

Multiplying (i) by 2, implies: 6x + 4y = 610...(iii)

From (iii) - (ii), 5x = 360

Therefore, x = 360/5 = 72.

Substituting x = 72 into (ii), 4y = 250 - 72 = 178

Therefore, y = 178/4 = 44.5

Thus, the cost of a jacket is 'x' dollars = 72 dollars and the cost of one skirt is 'y' dollars = 44.5 dollars.

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