Write a two-step equation involving division and addition that has a solution of x=25

1 answer:

4 0

If this is what you mean..?

In order to do this you would work backward from the answer.
You have x = 25 and ant to include and addition. As we are working backwards, we use the opposite operation to addition - subtraction. We'll make it an easy number so we will subtract 15 to get to 10.
So far it looks like 10 = 15 + x
Now, to include a division, we want to do the opposite again, multiplication. Pick any number to multiply 10 by - for this example we'll choose 7.
7 x 10 = 70
Now we can write out the equation -
70/7 + 15 = x
No brackets are required as Division comes before addition in BIDMAS.

An alternate choice would be to have x the other side of the '='

To do this, multiply x by a number of choice (for example 3) to make the divison section of the equation. This makes 75. This can be written as a fraction. 75/x = 3
Next, for the addition, whatever happens on one side, the exact same happens on the other. Pick any number to add on (e.g. 5) and re-write the equation.
75/x + 5 = 8

Sorry if this doesn't make perfect sense

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Theresa Morgan a chemist has a 10% hydrochloric acid solution and a 65% hydrochloric acid solution. How many liters of each shou

prisoha [69]

ANSWER:

170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.

SOLUTION:

First, set up a table. Fill in the unknowns with variables x and y. The table is attached below

From this, we can easily set up the two equations.

Sum of values of two acids = Value of mixture

0.1x + 0.65y = 1122

For convenience, we'll multiply the entire equation by 100,

10x + 65y = 112200 ------ (1)

Now, Sum of amounts of each acid = Amount of mixture

x + y = 1870 ---------(2)

multiply (2) with 10 for easy calculation and derive the equation into one variable.

10x + 10y = 18700

Subtracting equation (2) from (1),

( + ) 10x + 65y = 112200

( − ) 10x + 10y = 18700

we get the solution as,

0 + 55y = 93500

Thus, 55y = 93500

y = 1700

Substituting y = 1700 in (2),

x + 1700 = 1870

x = 1870 - 1700

x = 170

So, we have x = 170 and y = 1700

We can conclude that 170 liters of 10% hydrochloric acid must be mixed with 1700 liters of 65% hydrochloric acid solution to obtain 1870 liters of 60% solution.