SOLUTION: I am trying to help my 5th grader. Question asks: how many dimes equal the same total amount as 1,000,000,000 pennies. Am I solving for x? 10x=1,000,000,000?

Question 643195: I am trying to help my 5th grader. Question asks: how many dimes equal the same total amount as 1,000,000,000 pennies. Am I solving for x? 10x=1,000,000,000?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you have 1,000,000,000 pennies.
since a dime is equal to 10 pennies, you need to divide the number of pennies by 10 to get the number of dimes.
1,000,000,000 pennies divided by 10 equals 100,000,000 dimes.

it's tricky to see when you use variables, but the general idea is:

x = number of dimes
p = number of pennies
since a dime is equal to 10 pennies, then:
10*x = p
this translates to:
10 times the number of dimes is equal to the number of pennies.

you have 30 pennies.
this makes p = 30
formula is 10*x = p which becomes:
10*x = 30
solve for x to get x = 30/10 = 3

in your problem:
p = 1,000,000,000
formula is 10*x = p which becomes:
10*x = 1,000,000,000
solve for x to get x = 1,000,000,000 / 10 which is equal to 100,000,000

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