Question

Two stores sell CDs in packages, as shown in the table below.

CD Prices at Store A
Number of CDs in Package
1
12
20
45
Cost
$0.70
$8.40
?
$31.50


CD Prices at Store B
Number of CDs in Package
1
20
30
65
Cost
$0.60
?
$18.00
$39.00

If the rate at each store is constant, which statement correctly compares the cost of a package containing 20 CDs?
The cost at Store A is $2.00 greater than at Store B.
The cost at Store B is $2.00 greater than at Store A.
The cost at Store A is $1.00 greater than at Store B.
The cost at Store B is $1.00 greater than at Store A.

Answer 1

Step-by-step explanation:

If each CD at store A costs $.70, then 20 of them will cost 20(.7) = $14.

If each CD at store B costs $.60, then 20 of them will cost 20(.6) = $12.

The correct statement is that The cost at Store A is $2.00 greater than at Store B.

Answer 2

To compare the cost of a package containing 20 CDs at Store A and Store B, set up a proportion using the known values and solve for the missing cost at Store A. The cost at Store B is $2.00 greater than at Store A.

Step-by-step explanation:

To compare the cost of a package containing 20 CDs at Store A and Store B, we need to look at the information given in the table. From the table, we can see that the cost of a package with 20 CDs at Store A is missing, while the cost at Store B is given as an unknown value. To solve this, we can set up a proportion using the known values and solve for the missing cost at Store A.

Let's set up the proportion:

12 CDs / $8.40 = 20 CDs / x

Cross multiplying, we get:

12 × x = 8.40 × 20

x = (8.40 × 20) / 12

x = 14

Therefore, the cost of a package containing 20 CDs at Store A is $14.

Now, we can compare the costs. The cost at Store A is less than the cost at Store B, so the statement 'The cost at Store B is $2.00 greater than at Store A' is correct.

Therefore, the correct statement is: The cost at Store B is $2.00 greater than at Store A.