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horrorfan [7]
3 years ago
15

A software store has put some of its inventory on sale. Games are marked down by 15%, and security programs are marked down by 1

8%. If you pay $35.70 each for two games and $22.96 for a security program, how much have you saved? a. $17.64 b. $14.84 c. $12.24 d. $11.34 Please select the best answer from the choices provided A B C D
Mathematics
2 answers:
Anarel [89]3 years ago
8 0

Answer:

a. $17.64 took test on edge

Step-by-step explanation:

A software store has put some of its inventory on sale. Games are marked down by 15%, and security programs are marked down by 18%. If you pay $35.70 each for two games and $22.96 for a security program, how much have you saved?

a.

$17.64

b.

$14.84

c.

$12.24

d.

$11.34

Katyanochek1 [597]3 years ago
5 0

Answer:

Option D. \$11.34

Step-by-step explanation:

Let

x -----> the original price of one game

y ----> the original price of one security programs

Remember that

100\%-15\%=85\%=85\100=0.85

100\%-18\%=82\%=82\100=0.82

The total pay with discount is

\$35.70+\$22.96=\$58.66

we have that

0.85(2x)=35.70\\1.70x=35.70\\x=\$21

0.82y=22.96\\y=\$28

Find the total pay without discount

2x+y=2(21)+28=\$70

The amount saved is the difference

\$70-\$58.66=\$11.34

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Answer: 8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm

===========================================================

Explanation:

To be able to compare these various measurements, all of them must be the same unit. Let's convert each measurement to meters. If the measurement is already in meters, then we'll move onto the next measurement.

Here are some useful conversion factors

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With those conversion factors in mind, we get the following conversions:

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  • 0.0092 km = (0.0092 km)*(1000 m/1 km) = (0.0092*1000) m = 9.2 m

Here is the summary of the conversions:

  • 900 cm = 9 m
  • 8.9 m = 8.9 m
  • 895 cm = 8.95 m
  • 9.1 m = 9.1 m
  • 12000 mm = 12 m
  • 0.0092 km = 9.2 m

The original list of

{900cm, 8.9m, 895cm, 9.1m, 12000mm, 0.0092km}

becomes this equivalent list

{9 m, 8.9 m, 8.95 m, 9.1 m, 12 m, 9.2 m}

in that exact order.

After converting everything to meters, we can then sort the values from smallest to largest. Doing so gets us this sorted list of

{8.9 m, 8.95 m, 9 m, 9.1 m, 9.2 m, 12 m}

Then you convert back each measurement to its original form

{8.9 m, 895 cm, 900 cm, 9.1 m, 0.0092 km, 12000 mm}

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