# algebra

A number n is multiplied by 5/8. The product is subtracted by 2/3. The result 7/12, what is n.

1. 👍 1
2. 👎 0
3. 👁 262
1. Translate the English into Math, after all Mathematics is a language.
"A number n is multiplied by 5/8" --- (5/8)n
"The product is subtracted by 2/3", poorly worded, I will assume
you mean -----> (5/8)n - 2/3
"The result 7/12" -----> (5/8)n - 2/3 = 7/12
multiply each term by 24, the LCD
15n - 16 = 14

continue from here

1. 👍 2
2. 👎 0
2. 5n/8-2/3=7/12
2.5n/4-2/3=7/12 multiply each side by 12
2.5*3n-8=7
7.5n=15
n=2

1. 👍 1
2. 👎 0
3. 2 / 3 - n ∙ 5 / 8 = 7 / 12

2 / 3 - 5 n / 8 = 7 / 12

8 ∙ 2 / 8 ∙ 3 - 3 ∙ 5 n / 3 ∙ 8 = 2 ∙ 7 / 2 ∙ 12

16 / 24 - 15 n / 24 = 14 / 24

Subtract 16 / 24 to both sides

16 / 24 - 15 n / 24 - 16 / 24 = 14 / 24 - 16 / 24

- 15 n / 24 = - 2 / 24

Multiply both sides by 24

- 15 n = - 2

Divide both sides by - 15

n = - 2 / - 15

n = 2 / 15

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

The number 18 is multiplied by a number called "r". When 6 is subtracted from the product of 18 times r, the result is 54. Write the equation to solve this word problem.

asked by Dawnetta on October 19, 2009
2. ### Calculus

How is the product of a complex number and a real number represented on the coordinate plane? A)When 3 + 2i is multiplied by 3, the result is 9 + 6i. Graphically, this shows that the product is a scalar and a counterclockwise

asked by Mma on May 19, 2020
3. ### Algebra

X is a number.It is divided by 3,and 5 is subtracted from the result.The new result is then multiplied by 7.If the final answer is 28,what number is X?

asked by Veronica on January 8, 2017
4. ### math

can someone check my work please? 1. Seven times a number, added to the sum of the number and eight. 7*x+8 2. A number multiplied by -7 less 11 X*(-7)-11 3. A number multiplied by 9, added to -8 X*9+(-8) 4. 8.7 less than a number

asked by Abby on September 16, 2015
5. ### Math

When the number c is multiplied by 7, the result is the same as when c is subtracted from 7. What is the value of 16c? A. 14 B. 7/8 C. 8 D. 8/7 E. 7

asked by I'mHungry on January 3, 2017
1. ### math

I multiplied my number by 102,then subtracted 228. I then divided by 6.Finally I added 51. My result was 200. What number was I thinking of ?

asked by jeff on February 22, 2015
2. ### mAth

A number was subtracted by 2.6 and that difference was then divided by 0.3 After which the quotient was multiplied by 3. This product was -48. What was the number?

asked by Anonymous on March 17, 2016
3. ### Pampers

A number is multiplied by 4 and 6 is subtracted from it . The result is the same as when the number is increased by 15. Find the number

asked by Amara on January 12, 2017
4. ### Pampers

A number is multiplied by 4 and 6 is subtracted from it . The result is the same as when the number is increased by 15. Find the number

asked by Amara on January 12, 2017
5. ### e

if 3 i subtracted from a number and reminder is multiplied by 13, the product becomes 91.find the number.

asked by h on October 21, 2015

More Similar Questions