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 =  

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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