Question

Sherri saves nickels and dimes in a coin purse for her daughter. The total value of the coins in the purse is $0.70. The number of nickels is two less than six times the number of dimes. How many nickels and how many dimes are in the coin purse?

Answer 1

Therefore, there are 10 nickels in the coin purse.

Explanation:

Let's call the number of dimes in the coin purse "D" and the number of nickels "N".

We know the total value of the coins in the purse is $0.70, which we can express in cents as 70 cents:

5N + 10D = 70

We also know that the number of nickels is two less than six times the number of dimes:

N = 6D - 2

We can substitute the second equation into the first equation to get an equation with only one variable:

5(6D - 2) + 10D = 70

Simplifying this equation, we get:

30D - 10 + 10D = 70

Combining like terms, we get:

40D = 80

Dividing both sides by 40, we get:

D = 2

So there are 2 dimes in the coin purse.

Using the equation N = 6D - 2, we can find the number of nickels:

N = 6(2) - 2 = 10

Therefore, there are 10 nickels in the coin purse.