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zzz [600]
2 years ago
5

Shark tank A contains 9.2 gallon Tof water. Sarah will begin filling tank A at a rate of 2.4 gallons per minute. Shark tank cont

ains 109.2 gallons of water. Bella will begin draining tank B at a rate of 1.6 gallon per minute. After how many minutes will both tanks contain the same amount of water?​
Mathematics
1 answer:
Musya8 [376]2 years ago
7 0

Answer:

25 minutes

Step-by-step explanation:

let x = number of minutes

the following equation can be derived from the question

9.2 +  2.4x = 109.2 - 1.6x

the equations are equated together because it is expected the gallons of water in both tanks would be equal after sometime

collect like terms

2.4x + 1.6x = 109.2 - 9.2

4x = 100

x = 100/4 = 25 minutes

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Talja [164]
<h2>Hello!</h2>

The answer is:

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<h2>Why?</h2>

To solve the problem we need to add/subtract like terms. We need to remember that like terms are the terms that share the same variable and the same exponent.

For example, we have:

x^{2} +2x+3x=x^{2} +(2x+3x)=x^{2}+5x

We have that we were able to add just the terms that were sharing the same variable and exponenr (x for this case).

So, we are given the expression:

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