pat has $3.80 in nickles and dimes. if there are 51 coins in all, how many of them are nickels?

Answer 1

come on, this is so easy, its WHAAACK

5n+10d=380
n+d=51
n=51-d
5(51-d)+10d=380
255-5d+10d=380
5d=125
d=25
n=26

Answer 2

Here's the way to solve this type of problem:

let x be the number of nickles. Since nickles are worth 5 cents, we'll call them 5x. If there are 51 coins, then the number of dimes (y) is the number of coins minus the number of nickles, or 51-x=y. That means the $ amount of the dimes is 10(51-x)

We also know the total amount of the coins is $3.80 or 380 cents, so we stick this in to make:
380=10(51-x)+5x

You should be able to finish it from here. Just make sure you go back and check it by multiplying the number of dimes and nickles by their respective values and adding them together to make sure you get $3.80.

Answer 3

Let N equal the number of nickels and let D equal the number of dimes. Translating the given two sentences to two equations gives the following system of linear equations

N + D = 51
.05N + .10D = 3.80

Solving for D in the first equation gives
D = 51 - N

Substituting this into the second equation gives
.05N + .10(51 - N) = 3.80

Multiplying this equation by 100 (to eliminate the decimals) gives
5N + 10(51 - N) = 380

Eliminating ( )'s gives
5N + 510 - 10N = 380

Combining like terms gives
-5N + 510 = 380

Subtracting 510 on both sides gives
-5N = -130

Dividing both sides by -5 gives
N = 26

*There are 26 nickels.

By the way, there are 25 dimes since
D = 51 - N = 51 - 26 = 25

Answer 4

There are 26 nickles. Here's how to solve the equation:

5x + 10y = 380

this will represent the combination of nickles and dimes that equates to $3.80. Note that we've converted to cents, so as to remove the decimal point.

x + y = 51

This will represent the total number of coins. X being nickles and y being dimes.

We'll now express the dimes in terms of nickles by modifying the last equation too:

y = 51 - x

and substitute this into the first equation in the place of y:

5x + 10(51-x) = 380

Now just solve for x.

5x + 510 - 10x = 380

510 - 5x = 380

-5x = -130

x = 26

There you have it, 26 nickles.

Answer 5

I believe 26 nickels 25 dimes

Answer 6

26 nickels and 25 dimes, darn not 1st but only 15 sec behind ;-)

Answer 7

I suggest you do your own homework. I hate this "Homework Help" section! Kids should learn to do their own homework.

Answer 8

if i want too do homework i would go to school

Answer 9

Who gives a *&*#$^*!!!!!!!