Jane’s buying clothes. she can get 5 shirts & 4 sweaters for $229 or she can get 2 shirts & 3 sweaters for $128. how much is 1 shirt, and how much is 1 sweater?

Cost of 1 shirt is and cost of one sweater is

Solution:

Given that  Jane’s buying clothes.

She can get 5 shirts & 4 sweaters for

She can get 2 shirts & 3 sweaters for

Need to determine cost of 1 shirt and 1 sweater.

Let assume cost of 1 shirt =

And assume cost of 1 sweater =

Let us create equations from give conditions

First condition is Cost of 5 shirt + cost of 4 sweater =

So using first condition equation which we get is as follows

Second condition is Cost of 5 shirt + cost of 4 sweater =

So using second condition equation which we get is as follows

Now we have two equations to be solved

On multiplying equation (1) by 2 and equation (2) by 5 to make coefficients of x equal in both equations, we get

On subtracting (3) from (4), we get

On substituting y = 26 in equation (1) we get

Cost of 1 shirt =

Cost of 1 sweater =  

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i need a picure

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