slide1
Download
Skip this Video
Download Presentation
ANTIFREEZE

Loading in 2 Seconds...

play fullscreen
1 / 6

ANTIFREEZE - PowerPoint PPT Presentation


  • 121 Views
  • Uploaded on

EXAMPLE 4. Solve a mixture problem. ANTIFREEZE.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' ANTIFREEZE' - kenyon


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

EXAMPLE 4

Solve a mixture problem

ANTIFREEZE

For extremely cold temperatures, an automobile manufacturer recommends that a 70% antifreeze and 30% water mix be used in the cooling system of a car. How many quarts of pure (100%) antifreeze and a 50% antifreeze and 50% water mix should be combined to make 11 quarts of a 70% antifreeze and 30% water mix?

slide2

EXAMPLE 4

Solve a mixture problem

SOLUTION

STEP1

Write an equation for the total number of quarts and an equation for the number of quarts of antifreeze. Let xbe the number of quarts of 100% antifreeze, and let y be the number of quarts of a 50% antifreeze and 50% water mix.

slide3

yquarts of

50%–50% mix

11 quarts of

70%–30% mix

xquarts of

100% antifreeze

1x+0.5y=0.7(11)

EXAMPLE 4

Solve a mixture problem

Equation 1: Total number of quarts

x + y = 11

Equation 2: Number of quarts of antifreeze

x+ 0.5y = 7.7

slide4

EXAMPLE 4

Solve a mixture problem

x+y=11

The system of equations is:

Equation 1

x + 0.5y = 7.7

Equation 2

STEP2

Solve Equation1 forx.

x+ y=11

Write Equation 1

x=11–y

Revised Equation1

STEP3

Substitute11–yforxin Equation2 and solve

fory.

x+0.5y=7.7

Write Equation2.

slide5

ANSWER

Mix 4.4 quarts of 100% antifreeze and 6.6 quarts of a 50%

antifreeze and 50% water mix to get 11 quarts of a 70%

antifreeze and 30% water mix.

EXAMPLE 4

Solve a mixture problem

Substitute11–yforx.

(11 – y) + 0.5y = 7.7

Solve fory.

y=6.6

STEP4

Substitute 6.6 for yin the revised Equation 1 to

find the value of x.

x = 11 –y= 11 –6.6= 4.4

slide6

WHAT IF? How many quarts of 100% antifreeze and a 50% antifreeze and 50% water mix should be combined to make 16 quarts of a 70% antifreeze and 30% water mix?

6.

ANSWER

6.4 quarts of 100% antifreeze and 9.6 quarts of a 50%

antifreezeand 50% water mix

for Example 4

GUIDED PRACTICE