1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ser-zykov [4K]
3 years ago
5

A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 1

0% water. How much water must they add to create a 80/20 mix of paint to water?
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0
<h3>Answer:  1.25 gallons</h3>

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

Explanation:

They currently have ten gallon jugs that contain 10% water, so this means 0.10*10 = 1 gallon of the jug is water and the other 10-1 = 9 gallons is paint. This is assuming the cans are just paint and water.

The ratio of paint to water is 90:10 which reduces to 9:1

Often it helps to reduce as much as possible, but it's actually more handy in this case to keep it at 90:10 so you can see the two parts add back up to 100%

--------------

Let x be the amount of water we add. This amount is in gallons.

We start off with 1 gallon of water and it bumps up to 1+x gallons of water.

The overall amount of 10 gallons also bumps up to 10+x gallons.

We want a ratio of 80:20 this time, so we want 20 parts water and 80 parts paint. In other words, we want 20/(20+80) = 20/100 = 20% water

Divide (1+x) over (10+x) to get (1+x)/(10+x). This represents the fraction of water. We want this fraction to be equal to 0.20, which is the 20% water amount. It is also equal to 20/100.

--------------

(1+x)/(10+x) = 20/100

100(1+x) = 20(10+x) ... cross multiply

100+100x = 200+20x ... distribute

100x-20x = 200-100

80x = 100

x = 100/80 ... divide both sides by 80

x = 1.25

You need to add 1.25 gallons of water

--------------

If you add 1.25 gallons of water, then,

amount of water = 1+x = 1+1.25 = 2.25

amount of paint&water = 10+x = 10+1.25 = 11.25

So you'll have 2.25 gallons of water out of 11.25 gallons of water&paint mix

2.25/11.25 = 0.2 = 20% water

This confirms our answer.

--------------

Extra info:

1.25 gallons = 1 gallon + 1/4 gallon

1.25 gallons = 1 gallon + 1 quart

This is because 1 gallon = 4 quarts, so 1 quart = 1/4 gallon.

You might be interested in
1/4y + 1 1/2 + 2 − 1 3/4y − 12 = ?
pantera1 [17]
Brung like terms together:-
1/4 y - 1 3/4 y + 11/2 + 2 - 12
= - 1 1/2 y  + 11/2 - 10
= - 1  1/2y  - 9/2
8 0
3 years ago
Read 2 more answers
One of the zookeepers solved to find Bernard’s speed when he is healthy using the equation:
MrRissso [65]

Answer:

Both the zoo-keepers are correct.

Step-by-step explanation:

The first zoo keeper uses the equation:

x - 41.5 = 13.5

⇒ x = 13.5 + 14. 5 = 55

Now, the second zoo- keeper uses the equation:

41.5 + 13.5 = x

⇒ x = 55

Both use x = 55.

4 0
3 years ago
Read 2 more answers
HELP!!! PLEASE!!! NOW!!!!!! ASAP!!!!
77julia77 [94]

Answer:

y < -5

Step-by-step explanation:

19 > -6 - 5y

add 6 to both sides

25 > - 5y

divide by -5

-5 > y

8 0
2 years ago
Read 2 more answers
6w + 2(4w - 7) simplified​
Gemiola [76]

Answer:

14w -14

Step-by-step explanation:

6w + 2(4w - 7)

Distribute

6w+ 8w -14

Combine like terms

14w -14

8 0
3 years ago
Read 2 more answers
What is the area of the shaded region?​
IRINA_888 [86]
20 because of the whole is 40 and the shaded part is by 20 you just take half of 40 and you get 20
3 0
3 years ago
Other questions:
  • How many solutions does the system have?
    15·1 answer
  • What is the answer for -7x= -96
    10·1 answer
  • Sin\theta +cos\theta =1
    8·1 answer
  • Total hours worked for Hans Zupp is ___ .
    9·1 answer
  • Janet has three times as many dimes as nickels and twice as many quarters as nickels. If she has $3.40 in all, how many nickels,
    14·1 answer
  • -2/55 divided by 4/33
    6·1 answer
  • The triangles are similar.<br> What is the value of x?<br> Enter your answer in the box
    15·1 answer
  • Evaluate the expression. 3.14(7)² =
    7·1 answer
  • Which expression is equivalent to<br> 1940<br> ?<br> 2<br> 0<br> 27<br> 꾧<br> 3.6<br> 0<br> -<br> 3
    11·1 answer
  • The diagram shows a triangle.<br> 490<br> 880<br> What is the value of v?<br> V =
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!