Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make it a 12% detergent solution. which equation c

Question

2 years ago

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Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make it a 12% detergent solution. which equation c

an she use to find g, the number of gallons of water she should add?
A. 1.98/11+g - 12/100 = 1
B. 1.98/11+g + 12/100 = 1
C. 11+g/1.98 = 12/100
D. 1.98/11+g = 12/100

Mathematics

2 answers:

Sliva [168] · Answer 1 · 2023-12-07T13:09:01+03:00

The problem is about adding water to detergent solution to make a detergent solution.

In the problem g is taken for the number of gallons of water.

So, we can rephrase the given problem in simple words as

g gallons of water is added to 11 gallons of 18% detergent solution to get 12% detergent solution.

Let us write it in form of an equation,

g gallons of water is being added to 11 gallons of solution.

The total amount of solution will be (11 + g) gallons.

11 gallons of 18% detergent solution = 12% detergent solution.

For percent we can write over 100.

Therefore, above equation can be written as

11 × 18/100 = 12/100(g+11)

11 time 18 = 198

Therefore,

198/100 = 12/100(g+11)

Converting 198/100 into decimals, we get 1.98

We can rewrite above eqaution as

1.98 =12/100(g+11)

Dividing both sides by (g+11), we get

$\frac{19.8}{g+11}=\frac{12}{100}$

Therefore, correct option is D. 1.98/11+g = 12/100.

IgorLugansk [536] · Answer 2 · 2023-12-07T15:27:02+03:00

Answer:

D. 1.98/11+g = 12/100

Step-by-step explanation:

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?

Original

(Gallons)

Added

(Gallons)

New

(Gallons)

Amount of Detergent

1.98

0

Amount of Solution

11

g