solve each problem by establishing a variable, setting up an algebraic equation, and solving. Include units in your answer and round to the appropriate decimal place. show all work
2. Fred sells boulders at his store, the YabbaDabba Rock Shop. He prices all boulders 35% higher than his original cost before selling them. If Fred sells boulders for $37, what is the original cost of a boulder to Fred?
Answer should be: $64.44 (rounded to the nearest cent for cost problems)
3. You buy several items at the grocery store. The clerk rings up your order, and the total comes to $65.68 with tax. If the sales tax rate is 9.5%, what is the cost of the items before tax?
Answers should be: $59.98
4. Nebraska Furniture Mart is have a 20’% off sale on all recliners. Frederico purchases a recliner for $520. What was the original price of the recliner before the 20% discount?
Answer should be: $650.00
6. A rectangular basketball court has a length that is 6 feet less than twice the width. If the perimeter of the basket ball court is 288 feet, what are the length and width?
Answer should be: length is 94 feet and width is 50 feet
7. The perimeter of a rectangle is 98 centimeters. If the length is 5 more than tripe the width, what are the dimensions of the triangle?
Answer should be: 11cm x 38cm
Set up 2 equations with two variables representing the unknowns. Solve using either the substitution or elimination method.
1. Kristin spent $131 on shirts. Blouses cost $28 each and t-shirts cost $15 each. If she bought a total of 7 shirts, how many of each kind did she purchase?
Answer should be: 2 blouses and 5 tshirts
2. All 231 students in the math club went on a field trip to see ¨parasite¨. Some students rode in vans which hold 7 students, while some students rode in buses which hold 25 students. How many of each type of vehicle did they use if there were 15 vehicles total?
Answer should be 8 vans and 7 buses
3. Molly´s kitchen supplies sold a total of 27 forks and spoons one day. Forks are sol for $3 each and spoons are sold for $2 each. Total receipts for forks and spoons that day were $61. How many forks and how many spoons were sold?
Answer should be 7 forks and 20 spoons
