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2 votes
rob has a collection of nickles and dimes worth $1.65. If there are 25 coins total, how many dimes does he have.

2 Answers

5 votes

Answer:

8 dimes and 17 nickels

Explanation:

User Roy Chan
by
8.9k points
6 votes

Answer:

Rob has 8 dimes.

Explanation:

Rob has $1.65 in nickels and dimes. He has 25 coins in all. Let’s say that Rob has “n” nickels and “d” dimes. We know that the total value of the coins is $1.65. We can express this as an equation: 0.05n + 0.10d = 1.65

We also know that there are 25 coins in all, so we can express this as another equation: n + d = 25.

We can solve for one variable in terms of the other using either equation and then substitute into the other equation to solve for the remaining variable. Let’s solve for “n” in terms of “d” using the second equation: n = 25 - d .

Now we can substitute this expression for “n” into the first equation:

0.05(25 - d) + 0.10d = 1.65

Simplifying this expression gives us:

1.25 - 0.05d + 0.10d = 1.65

Combining like terms gives us:

0.05d = 0.40

Dividing both sides by 0.05 gives us:

d = 8

So Rob has 8 dimes.

User Rboarman
by
8.6k points