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3 years ago

14

Steven added a number to one-sixth. Will subtracted the same number from one and two-thirds. They each got the same answer. What

is the number ?

1 answer:

White raven [17]3 years ago

6 0

Answer:

x=3/4

Step-by-step explanation:

Set up an equation:

1/6+x=1 2/3-x

1/6+x=5/3-x

1/6+x=10/6-x

2x=9/6

2x=3/2

4x=3

x=3/4

Check:

common denominator of 12

2/12+9/12=11/12 AND 20/12-9/12=11/12

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Plz answer question in screen shot

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3 years ago

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution. How many liters of eac

lesantik [10]

Answer:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

Step-by-step explanation:

Let us represent:

The number of liters for :

Acid solution a = x

Acid solution b = y

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.

x + y = 40 ...... Equation 1

x = 40 - y

25% × x + 50% × y = 45% × 40

0.25x + 0.5y = 18...... Equation 2

We substitute, 40 - y for x in Equation 2

0.25(40 - y)+ 0.5y = 18

10 - 0.25y + 0.5y = 18

- 0.25y + 0.5y = 18 - 10

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y = 8/0.25

y = 32 Liters

Solving for x

x = 40 - y

x = 40 - 32

x = 8 Liters.

Hence:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

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Step-by-step explanation:

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