1. Three times the width of a certain rectangle exceeds twice its length by two inches. Four times its length is twelve more than its perimeter. Write a system of equations that could be used to solve this problem. (hint: P = 2L + 2W)

Question

2. Your mother has left you in charge of the annual family yard sale. Before she leaves you to your entrepreneurial abilities, she explains that she has made the job easy for you: everything costs either $1.50 or $3.50. She asks you to keep track of how many of each type of item is sold, and you make a list, but it gets lost sometime throughout the day. Just before she’s supposed to get home, you realize that all you know is that there were 150 items to start with (your mom counted) and you have 41 items left. Also, you know that you made $227.50. Write a system of equations that you could solve to figure out how many of each type of item you sold.

Answer 1

#1. What's the trouble? Just write in math what they have said in words.
3W = 2L+2
4L = 12+2(W+L)
You can rearrange these as you see fit.

#2. If you sold x items at $1.50 and y at $3.50, then
x+y = 150-41
1.50x + 3.50y = 227.50