Noah was selling spirit wear. Bruin t-shirts cost $12 and Bruin sweatpants cost $30. He sold 70 items and made $1200. How many of each item did he sell (Please show steps)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Let the number of Bruin t-shirts sold be x 

And, number of Bruin sweatpanys sold be y

Then, according to question 

x + y = 70        ….1

12x + 30y = 1200       ….2

Multiplying equation 1 by 12 and Subtracting it by equation 2, we get

12x + 30y - 12 x - 12y = 1200 - 840

18y = 360

y = 360/18

y = 20

Now, Substituting value of y in equation 1, we get

x + 20 = 70

x = 70 - 20

x = 50

 

Thus, Noah sold 50 t-shirts and 20 sweatpants.