Problema Solution
You purchased t shirts and sweatshirts for for the math club at your school. Tshirts cost $12 each and sweatshirts cost $20 each. You ordered 6 more tshirts than sweatshirts. The total cost is $296. Use a verbal model write and solve a system of linear equations. How many tshirts did you order? How many sweatshirts did you order?
Answer provided by our tutors
the number of t-shirts = 6 + number of sweatshirts
the cost of t-shirt * number of t-shirts + the cost of sweatshirts * number of sweatshirts = total cost
the number of t-shirts = t
number of sweatshirts = s
the cost of t-shirt = $12
the cost of sweatshirt = $20
total cost = $296
t = 6 + s
12t + 20s = 296
by solving the above system of equations we find:
t = 13 t-shirts
s = 7 sweatshirts
click here to see the step by step solution of the system of equations:
13 t-shirts and 7 sweatshirts were ordered.