John has two $100 bills, three $20 bills andfour $10 bills with him. If he spends $170using the least number of bills, which of thefollowing line plots represent the final set of bills remaining with John?
A
Plot 1
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B
Plot 3
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C
Plot 2
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D
Plot 4
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Solution
The correct option is D Plot 4 To spend the least number of bills, John has to spend the as many of the higher valued bills as possible.
Now, using the least number of bills, we get a sum of $170 as:
$170=$100+$60+$10=$100×1+$20×3+$10×1
So, in order to spend $170, John uses one $100 bill, three $20 bills and one $10bill.
Subtracting the bills spent from the initial set of bills John had, we get:
So, the final set of bills remaining with John will be:
3×($10)+0×($20)+1×($100)
Plotting this on a line plot, we get:
∴The line plot that correctly represents the final set of bills remaining with John is plot 4.