Question

$\text{John has two}\$100\text{bills, three}\$20\text{bills and}\text{four}\$10\text{bills with him. If he spends}\$170\text{using the}least\text{number of bills, which of the}\text{following line plots represent the final set of}\text{bills remaining with John?}$

• A. Plot 1
• B. Plot 2
• C. Plot 3
• D. Plot 4

Answer 1

The correct option is D Plot 4

$\text{To spend the least number of bills, John}\text{has to spend the as many of the higher}\text{valued bills as possible.}$

$\text{Now, using the least number of bills, we}\text{get a sum of}\$170\text{as:}$

$\$170=\$100+\$60+\$10=\$100\times 1+\$20\times 3+\$10\times 1$

$\text{So, in order to spend}\$170\text{, John uses one}\$100\text{bill, three}\$20\text{bills and one}\$10\text{bill.}$

$\text{Subtracting the bills spent from the initial}\text{set of bills John had, we get:}$


$\text{So, the final set of bills remaining with}\text{John will be:}$

$3\times \left(\$10\right)+0\times \left(\$20\right)+1\times \left(\$100\right)$

$\text{Plotting this on a line plot, we get:}$


$\therefore \text{The line plot that correctly represents}$ $\text{the final set of bills remaining with John is plot 4.}$