MATH 105 UMGC Topics for Mathematical Literacy
Description
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This problem set has three questions A, B, C.
You go to your favorite food market and see an item that you used to regularly purchased, although the last time was 8 months ago. The package looks the same BUT looking at the label you see that the number of items in the package has decreased BUT the price is kept the same as the original price
Use the information in the chart below corresponding to your assigned number to answer the three questions below. Show all your steps to reach your answers.
A. What is the percentage of decrease in the quantity from the original package to the new package? Round answer to one decimal place.
B. Because the price of the new package is the same as the original package, the price of each piece (ie the unit price) in the new package has increased from the price of each piece (ie the unit price) in the original package. What is the percentage that unit price has increased from the original package? Round answer to one decimal place. Do NOT round when you find the unit prices. Only round your final percentage answer to one decimal place.
C. A store buys 125 cases and each case contains 15 packages. They take a 6-month simple interest loan at 2.3%. What will the monthly payment be?
Assigned Number
Original Package: Number of items
New Package: Number of items
Price of original package
1
64 pieces
56 pieces
$4.25
2
30 pieces
25 pieces
$6.00
3
25 pieces
18 pieces
$5.00
4
15 pieces
10 Pieces
$6.50
5
16 pieces
12 pieces
$5.50
6
64 pieces
52 pieces
$7.00
7
32 pieces
28 pieces
$7.25
8
300 pieces
260 pieces
$7.50
9
232 pieces
200 pieces
$4.00
10
40 pieces
34 pieces
$4.50
11
55 pieces
45 pieces
$6.25
12
35 pieces
25 pieces
$4.75
13
20 pieces
18 pieces
$5.75
14
10 pieces
7 pieces
$6.75
15
26 pieces
22 pieces
$7.75
16
54 pieces
42 pieces
$4.25
17
22 pieces
18 pieces
$6.00
18
200 pieces
160 pieces
$5.00
19
132 pieces
100 pieces
$6.50
20
50 pieces
44 pieces
$5.50
21
65 pieces
50 pieces
$7.00
22
30 pieces
20 pieces
$7.25
23
64 pieces
48 pieces
$7.50
24
30 pieces
20 pieces
$4.00
25
16 pieces
12 pieces
$4.50
26
64 pieces
48 pieces
$6.25
27
42 pieces
36 pieces
$4.75
28
400 pieces
360 pieces
$5.75
29
332 pieces
200 pieces
$6.75
30
60 pieces
48 pieces
$7.75
31
65 pieces
50 pieces
$5.00
32
30 pieces
15 pieces
$6.50
33
64 pieces
48 pieces
$5.50
34
35
36
40 pieces
150 pieces
64 pieces
30 pieces
100 pieces
48 pieces
$4.75
$3.00
$6.00
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