At the bargain store , tanya bought 3 items that each cost the same amount. tony bought 5 items that each cost the same amount but each was 1.50 less than the the items that tanya bought. both tony and tanya paid the same amount of money. what was the individual cost of each person's items

 The required individual cost of Tanya's items is 2.25 and that of Tony's items is 3.75.

Step-by-step explanation:  Given that at the bargain store , Tanya bought 3 items that each cost the same amount.

Tony bought 5 items that each cost the same amount but each was 1.50 less than the the items that Tanya bought. both Tony and Tanya paid the same amount of money.

We are to find the individual cost of each person's items.

Let x and y represents the individual cost of Tanya's items and Tony's items respectively.

Then, according to the given information, we have

and

From equation (i), we get

Thus, the required individual cost of Tanya's items is 2.25 and that of Tony's items is 3.75.

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c