Steve is holding nickels and dimes in his hand. He has 4 more dimes than nickels. He has a total of 70 cents in his hand. How many nickels is he holding?
Please answer and provide answer explanation.
2
Let x be the number of nickels he is holding.

His nickels are worth 5 * x = 5x cents.

He has x + 4 dimes.

The dimes are worth 10 * (x + 4).

The total worth of the nickels and dimes is 5x + 10 * (x + 4) = 70.

5x + 10x + 40 = 70.

15x = 30.

x = 2, Steve has 2 nickels in his hand.

.

The answer: 2