Question

Translate to an algebraic statement.
"The quotient of twice a number and 7 is 20." ) Solve the equation you translated

Answer 1

Answer:

2x/7=20

and

x=70

Step-by-step explanation:

Let number = x

Twice the number = 2x

Twice a number divided by 7 = 2x/7

Quotient = 20

The equation would be:

2x/7 = 20

To solve this we must cross multiply by 7.

(2x/7)×7  =  7(20)

2x = 140

x = 140/2

x = 70

Answer 2

Answer:

• Translation: 2x/7 = 20

Step-by-step explanation:

• When we listen to the word "quotient", it means the solution to a division problem.
• An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement.
• The number "7" is in the denominator because it came after the 2x in the statement.
• The word "is" represents an equal sign.
• The solution to the division problem (quotient) is 20.

If we put these clues together, we get 2x/7 = 20 as our translated equation. Now, let's solve.

• 2x/7 = 20
• => 2x = 140
• => x = 70

Hence, the unknown value is 70.

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