Question

$\text{We have}\frac{10}{4}\text{pounds of sugar. If we use}$
$\frac{7}{4}\text{pounds of sugar, what amount of sugar will be}$
$\text{left?}$

• A. 0.75 lbs
  
• B. 0.5 lbs
  
• C. 2.5 lbs
  
• D. 1.0 lbs

Answer 1

The correct option is A 0.75 lbs


$\text{The amount of sugar available =}\frac{10}{4}lbs.$

$\text{We used}\frac{7}{4}\text{lbs of sugar.}$

In the given number line, each segment is divided into 4 parts.


$\text{So, each part is equivalent to}\frac{1}{4}$

$\frac{10}{4}\text{can be written as}2\frac{2}{4}$

$\text{We represent}2\frac{2}{4}\text{on the number line.}$


$\text{To represent subtraction, we move}\frac{7}{4}$ $\text{units to the left.}$


$\text{This reaches}\frac{3}{4}\text{on the number line.}$

$\text{∴ Amount of sugar left =}\frac{3}{4}=0.75lbs$