"2/7 of x is equal to 6" is mathematically translated as

(2/7) × x = 6

Solve for x

2x = 42

x = 21

What is 15% of 45% of 1.4?

Solution

"15% of 45% of 1.4" is mathematically translated as

15%(45% × 1.4)

Simplify

= (15/100) × (45 / 100 × 1.4)

= (15 × 45 × 1.4) / 10,000

= 945 / 10,000

= 0.0945

What is 2/3 of 1/5 of 12,000?

Solution

"2/3 of 1/5 of 12,000" is mathematically translated as

(2/3)( 1/5 × 12,000) =

Simplify

(2/3)( 1/5 × 12,000) =

= (2/3)(12,000/5)

= (2/3)(2,400)

= 2 × 2,400 / 3

= 1,600

If x% of 23 is 9.2, then x =

Solution

"x% of 23 is 9.2" is mathematically translated as

(x%) × (23) = 9.2

Solve for x

(x / 100) × 23 = 9.2

23 x = 9.2 × 100

x = 40

On a 25 questions Math test, Peter got 60% of the 10 algebra questions correct, 80% of the 10 geometry questions correct and 60% of the 5 trigonometry questions correct. What percentage of all the questions did Peter get correct

Solution

60% of the 10 algebra questions correct

60% * 10 = 6

80% of the 10 geometry questions correct

80% * 10 = 8

60% of the 5 trigonometry questions correct

60% * 5 = 3

Total number of questions

6 + 8 + 3 = 17

Percentage of correct questions

17 / 25 = 0.68 = 68%

If 25% of y is x, then y =

Solution

"25% of y is x" is mathematically translated as

(25 / 100) y = x

Solve for y

25 y = 100 x

y = (100 x) / 25

y = 4x

What fraction subtracted from 1/2 + 4/5 gives 1?

Solution

Let x be the fraction to be subtracted. Hence

(1/2 + 4/5) - x = 1

Solve for x

x = (1/2 + 4/5) - 1

x = (5/10 + 8/10) - 10/10 = 3/10

One out of 5 of a group of students took a math test, 28% of the same group took a science test and the rest took a history test. What percent of students took a history test?

Solution

One out of 5 may be written as a fraction equal to

1/5

and in percent as

20%

So 20% took math and 28% took science. The percent of those who took history is

100% - 20% - 28% = 52% of students took history

If one fifth of y + 1 is equal to 2, then y + 2 =

Solution

"one fifth of y + 1 is equal to 2" is mathematically translated as