Answer:
[tex]14\frac{1}{3}[/tex]
Step-by-step explanation:
Let's write this out as an equation. Let the unknown quantity be x:
[tex]x+\frac{2}{3} - \frac{1}{3} (x+\frac{2}{3}) = 10\\\\3x+2-x -\frac{2}{3} = 30\\\\9x+6-3x-2=90\\\\6x= 86\\\\x = \frac{86}{6} =\frac{43}{3} =14\frac{1}{3} \\[/tex]
Answer: the quantity is 9
Step-by-step explanation:
Let x represent the quantity.
A quantity and its 2/3 are added together. The 2/3 of the number is 2/3 × x = 2x/3
The sum of the quantity and its 2/3 would be
x + 2x/3 = (3x + 2x)/3 = 5x/3
From the sum, 1/3 of the sum is subtracted. 1/3 of the sum would be
1/3 × 5x/3 = 5x/9
Subtracting 1/3 of the sum from the sum, it becomes
5x/3 - 5x/9 = (15x - 5x)/9 = 10x/9
If the remainder is 10, it means that
10x/9 = 10
Crossmultiplying
10x = 9 × 10 = 90
x = 90/10
x = 9
