Question

The table displays the amount of money Stephen has in his piggy bank.Stephen's Piggy BankTypes of CoinsAmount ($)Quarters7.50Dimes6.00Nickels5.50Pennies3.00Which answer choice does NOT accurately approximate a comparison between the value of the dimes in the piggybank and the total value of Stephen's coins?A.3/11B.27%C.6%D.6/22

Answer 1

Choice C: 6%

Explanation:

Totoal worth of dimes in Stephen's piggy bank is $6 and the total amount is

7.50 + 6.00 + 5.50 + 3.00 = 22; thefore the ratio of dimes worth to total worth is

`(6)/(22)`

which can be simplified and written as

`(6/2)/(22/2)=(3)/(11)`

And as a percentage this is

`(3)/(11)*100=27.\text{ }`

We see here that there are three ways to represent the comparison of dimes worth to total worth: 6/22, 3/11, and 27%. Hence, it is choice C that does not accurately represent the comparison, and therefore, it is the right choice.