1.   Solve these systems of equations using the elimination method:     x + 2y + z = 3

                                                                                                                           2x  -  y  + 2z = 6

                                                                                                                           3x +  y   -  z  = 5

 

2. A sneaker shop pays its wholesale $50 for a certain athletic shoe, and then sells it to a customer for $110. what is the % markup ?

 

3a. What is the perimeter of a rectangle whose width is (x+y) and whose length is (3x+2y) ?

3b. What is the area of that rectangle ?

 

4. Rebecca, Sarah and Rachael went to a restaurant and decided to share a waffle and ice cream. When it arrived, they saw that the waffle was huge, 10 inches square (100 in2). They could only eat three quarters of it. Rachael ate half of what Sarah ate, and Rebecca got three-quarters of what Sarah ate. How much did each friend eat ?

 

5. Two cars leave Philadelphia, one traveling North and the other traveling South. After 3 hours, they are 297 miles apart. If one car is traveling 5 miles per hour faster than the other, what is the speed of each.

 

6. A catering company needs to provide 10 Ibs of mixed nuts for a wedding reception. The couple has budgeted $42 for nuts. Peanuts cost $3.00 / Ib and Cashews cost $7.00 / Ib. How many pounds each of Peanuts and Cashews should the catering company combine ?