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tankabanditka [31]
2 years ago
6

The sum of 12 and a certain number is equal to the product of 3 and the number

Mathematics
1 answer:
german2 years ago
3 0

Answer:

Read the explanation!

Step-by-step explanation:

<em>Let the "certain number" be </em>x<em>. </em>

(* is a symbol for multiplication).

<em>Create a few equations and expressions:</em>

The sum of 12 and a certain number: 12 + x

The product of 3 and the number: 3 *x = 3x

The sum of 12 and a certain number is equal to the product of 3 and the number:

12 + x = 3x

Solve!

12=3x-x

12=2x

x=6

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serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

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So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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2 years ago
Dianne's profit from selling magazine subscriptions varies directly with the number of subscriptions sold. Dianne made $30 from
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ANSWER:
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Square root of 120 over the square root of 30. what is the following quotient.
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Answer:

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Step-by-step explanation:

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