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Math Department

Math Counts

Practice Problem

December 19, 2007

 

You are doing some back-to-school shopping today.  Your school supply list indicates that you need the following: two 2-pocket folders, #2 pencils, black or blue ball point pens, pen/pencil case, highlighters, one 12-pack of colored pencils, one 8-pack of markers, loose leaf paper, five 1-inch three ring binders, graphing paper, ruler, 3x5 index cards, two spiral bound notebooks.  The regular price for each item is listed below.

 

Item                                     Regular Price

2-pocket folder $2.29 each
#2 pencils $3.59/dozen
Package of blue/black ball point pens $1.99/pack
Pen/pencil case $3.19 each
Package of highlighters $4.29/pack
12-pack of colored pencils $0.99/pack
8-pack of markers $0.99/pack
Package of loose leaf paper $2.19/pack
1-inch three ring binders $1.99 each
Package of graphing paper $5.79/pack
Ruler $0.79 each
Package of 500 3x5 index cards $3.29/pack
Spiral bound notebook $3.99 each

You find out that School Supply Super Store has all writing utensils (pencils, pens, colored pencils, markers, highlighters) on sale for 30% off and Supply Central has paper products (loose leaf, graphing, index cards, notebooks), binders, and folders on sale for 20% off.  If all of the other items are regular price (listed above) and you can make only one stop, which store should you stop at to get your supplies for the lowest total price? While shopping you decide to stop at both School Supply Super Store and Supply Central and only purchase the items from your list that are on sale at each store.  Compared to the regular prices, what is the average percent savings per item?  Express as a percent to the nearest tenth. After selecting all of the sale items at School Supply Super Store that are on your list you go to pay.  The cashier tells you that your total is $8.74.  How much is sales tax?  Express your answer as a percent to the nearest tenth. Assuming that the tax rate is the same at both School Supply Super Store and Supply Central, what will your total, with tax, be at Supply Central when you purchase their sale items that are on your list?

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