Question

To clean laundry, $\dfrac{1}{3}$ cup of bleach is needed for every $2$ gallons of water. How many cups of bleach are needed for $20$ gallons of water?

Answer 1

Hint: For solving this particular problem we just have to take the given equation that is for every $2$ gallons of water $\dfrac{1}{3}$ cups of bleach is needed. We just have to multiple $20$to the number of cups needed for one gallons of water.

Complete step by step solution:
It is given that, to clean laundry,
For every $2$ gallons of water $\dfrac{1}{3}$ cups of bleach is needed .
Or we can write it as ,
$2$ gallons of water = $\dfrac{1}{3}$ cups
We can write it as ,
$1$ gallons of water = $\dfrac{1}{3} \times \dfrac{1}{2}$ cups
= $\dfrac{1}{6}$ cups
Therefore, for $20$ gallons of water = $\dfrac{1}{6} \times 20$ cups
= $3\dfrac{1}{3}$ cups
Hence, we get the required result.

Additional Information:
Addition and subtraction of integers is a bit complex. Addition and subtraction are the two functions that are the fundamental mathematical functions. In integers this function is a bit complicated because of the presence of a specific sign before the amount. However, once you add or subtract two numbers with the identical sign you are doing as directed, but if the numbers have different signs then it's different.
If there's subtraction between a positive and a negative number then there's addition.
Rules of integers for addition and subtraction :
1) If the two numbers have different signs like positive and negative then subtract the two numbers and provide the sign of the larger number.
2) If the two numbers have the same sign i.e. either positive or negative signs then add the two numbers and provide the common sign.
3) (positive) $\times$(positive) = positive sign.
4) (negative) $\times$(negative) = negative sign.
5) (positive) $\times$(negative) = negative sign.
6) (negative) $\times$(positive) = negative sign.


Note: The solution of the addition or subtraction between two numbers will have the sign of the greater number. If there's subtraction between a positive and a negative number then there's addition.