Jackets that were selling for $30 each went on sale. Before noon you could buy a jacket for $20, after noon the price was further reduced to $15. There were 500

Question

linear equation

Answer 1

Let X be the number of jackets that sold for $20

Y is the number of jackets that sold for $15

 

What is given:

1. 500 jackets all together were sold.

          That means that X + Y = 500

 

2. They made $9500

    That means that 20X + 15Y = 9500

 

From the 1st equation we have X = 500-Y

 

Substitute back into the second:

 

20 (500-Y) + 15Y = 9500

10000 - 20Y+ 15Y = 9500

10000 - 9500 = 5Y = 500

 

 

Then Y = 500 / 5 = 100 jackets that cost $15

They als osold 500 - 100 = 400 jackets that cost $20