Question

The ratio of nickels to dimes in a piggy bank is 7 : 11. if there are a total of 90 nickels and dimes in the piggy bank, how many of them would you expect to be dimes?

Answer 1

To find the expected number of dimes in a piggy bank with a 7:11 ratio of nickels to dimes and a total of 90 coins, we calculate 11x = 55, thus expecting 55 dimes.

Step-by-step explanation:

The question asks us to find how many dimes there are in a piggy bank if the ratio of nickels to dimes is 7:11 and there is a total of 90 nickels and dimes. To solve this, we can set up a proportion where the total number of coins is divided in the ratio 7:11.

Let the number of nickels be 7x and the number of dimes be 11x. Then, the total number of coins is 7x + 11x = 90. Simplifying this, we get 18x = 90, which gives us x = 5.

Therefore, the number of dimes is 11x = 11(5) = 55.

So, we expect 55 dimes in the piggy bank.