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16 hours ago

15

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

2 answers:

Zina [9.1K]15 hours ago

6 0

The scenario involves adding water to a detergent solution for creating a new detergent solution.

In the context, g represents the number of gallons of water to be added.

In simpler terms, the problem can be expressed as

g gallons of water mixed with 11 gallons of 18% detergent solution results in a 12% detergent solution.

We can formulate this as an equation:

g gallons of water are added to 11 gallons of solution.

The total volume of the mixture will be (11 + g) gallons.

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

To express percent, we can use a fraction over 100.

This allows us to rewrite the equation as

11 × 18/100 = 12/100(g+11)

Calculating 11 times 18 results in 198

Thus,

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

Converting 198/100 into decimal yields 1.98

We can express the equation as

1.98 = 12/100(g+11)

Dividing both sides by (g+11) leads to

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

Consequently, the correct response is D. 1.98/11+g = 12/100.

tester [8.8K]15 hours ago

5 0

Answer:

D. 1.98/11+g = 12/100

Step-by-step reasoning:

Meryl is aiming to add the correct amount of water to 11 gallons of an 18% detergent solution to transform it into a 12% detergent solution. Which equation would help her find g, the gallons of water needed?

Original

(Gallons)

Added

(Gallons)

New

(Gallons)

Amount of Detergent

1.98

0

Amount of Solution

11

g

StartFraction 1.98 Over 11 + g EndFraction minus StartFraction 12 Over 100 EndFraction = 1

StartFraction 1.98 Over 11 + g EndFraction plus StartFraction 12 Over 100 EndFraction = 1

StartFraction 11 + g Over 1.98 EndFraction equals StartFraction 12 Over 100 EndFraction

StartFraction 1.98 Over 11 + g EndFraction equals StartFraction 12 Over 100 EndFraction

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