A penny is about 0.0625 of an inch thick.
a. In 2011 there were approximately 5 billion pennies minted. If all these pennies were placed in a single stack, how many miles high would that stack be?
b. In the past 100 years, nearly 500 billion pennies have been minted. If all these pennies were placed in a single stack, how many miles high would that stack be?
c. The distance from the moon to the earth is about 239,000 miles. How many pennies would need to be stack in order to reach the moon?

a) The height of the stack would be is 4932.13 miles

b) The  height of stack  is 493213 miles

c) 2,42,28,86,40,000 need to be stack in order to reach the moon

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

thickness of penny = 0.0625

a) if  5 billion pennies minted

Then, height of the stack would be

= 5,000,000,000 x 0.0625

=31,25,00,000 miles

= 31,25,00,000 / 12 x 5280

=4932.13 miles

b) In the past 100 years, nearly 500 billion pennies have been minted.

Now, the height of stack

= 4932.13  x 100

=493213 miles

c) let  x be the number of pennies in a stack which reaches the moon then we have the equation

x × 0.0625 =239,000miles.

x =(239,000 / 0.0625 miles)  ×5280 ×12

x = 38,24,000 x 5280 x 12

x  = 2,42,28,86,40,000

Learn more about unitary method here:

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