nine tenths of a number g is the same as seven plus two thirds of another number k solve for k

Did you translate the English into Math ?


"nine tenths of a number g" ---> (9/10)g
"is the same as" ----> =
"seven plus two thirds of another number k " ---> 7 + (2/3)k

follow the same steps I showed you many posts ago
let me know what you got.

The sum of nine-tenths and g is two-thirds.

To solve for k, we will follow these steps:

Step 1: Write the given information as an equation.
nine tenths of a number g is the same as seven plus two thirds of another number k can be written as:

(9/10)g = 7 + (2/3)k

Step 2: Simplify the equation by distributing and combining like terms.
Multiply both sides of the equation by 10 to get rid of the fraction:

10 * (9/10)g = 10 * (7 + (2/3)k)
9g = 70 + (20/3)k

Step 3: Isolate the term with k on one side of the equation.
Subtract 70 from both sides of the equation:

9g - 70 = (20/3)k

Step 4: Solve for k.
To solve for k, divide both sides of the equation by (20/3):

k = (3/20)(9g - 70)

So, the solution for k is:
k = (27g - 210)/20

To solve for k in the equation "nine tenths of a number g is the same as seven plus two thirds of another number k," we can follow these steps:

Step 1: Let's assume the number g is represented by 'x' and the other number k is represented by 'y'.

Step 2: Translate the given sentence into an equation. "Nine tenths of a number g" can be expressed as (9/10) * x. "Two thirds of another number k" can be expressed as (2/3) * y. And "is the same as seven" can be translated as "="7. Combining these, we have the equation:

(9/10) * x = (2/3) * y + 7

Step 3: To solve for y, let's isolate the variable by performing the necessary operations.

First, we can subtract 7 from both sides of the equation:
(9/10) * x - 7 = (2/3) * y

Step 4: Next, let's isolate y by multiplying both sides of the equation by the reciprocal of (2/3), which is (3/2):
[(9/10) * x - 7] * (3/2) = y

Step 5: Simplify the equation:
(27/20) * x - 21/2 = y

So, the solution for k is y = (27/20) * x - 21/2.