Question

You have 15 coins in your pocket that are either quarters (q) or nickels (n). They total $2.75.
a. Write a system of linear equations that represents how many of each coin you have.
b. How many of each coin do you have?

Answer 1

@zepdrix

Answer 2

someone help me please

Answer 3

@Jaynator495

Answer 4

help plz?

Answer 5

what do you get when you add q and n?

Answer 6

qn?

Answer 7

q=# quarters, n=#nickles

Answer 8

q+n=?

Answer 9

idk 0___________0

Answer 10

there are only nickels and quarters . So if you count up all the coins how many do you have?

Answer 11

8 quarters

Answer 12

and 15 nickels @Zarkon

Answer 13

it says you only have 15 coins total "You have 15 coins in your pocket"

Answer 14

6 quarters and 9 nickels @Zarkon

Answer 15

no...and aren't you supposed to set up a system of equations

Answer 16

@mathmale can you please help me

Answer 17

"Zarkon
q=# quarters, n=#nickles" this being algebra, you'll need to represent unknown quantities with letters. Logically enough, Zarkon has chosen q to represent the # of quarters and n to repr. the # of nickels.

How many coins do you have in your pocket?

What is their total worth?

Answer 18

@phagey

Answer 19

i need only 15 coins and the total has to be 2.75 @mathmale

Answer 20

i cant figure out how many quarters or nickles though

Answer 21

OK: Write equations!!

The set of quarters and nickels adds up to $2.75 in value, and there are a total of 15 coins in the set.

# of coins: q + can you finish this?

Value of coins: $2.75 = q($0.25) + Can you finish this?

Answer 22

You need two equations in two unknowns to solve this problem.

Answer 23

q+n=2.75

Answer 24

@mathmale

Answer 25

2.75=q(0.25)+n(0.5) @mathmale

Answer 26

$2.75 pertains only to the value of the quarters and the value of the nickels. Your most recent equation is almost correct, but in regard to the value of a nickel you have a mistake. Could you find and fix that, please?

Answer 27

"q+n=2.75" is incorrect. Why? Because q and n are counts (how many quarters, how many nickels, whereas $2.75 is VALUE / MONEY.

Answer 28

its not 0.5?

Answer 29

No. That's 50 cents.

Answer 30

What's the value of one nickel?

Answer 31

oh so 0.05? @mathmale

Answer 32

Much better.

Then, q + n = ?

(0.25)q + (0.05)n = ?

Answer 33

so 2.75=q(0.25)+n(0.05) is the answer to the first part?

Answer 34

It's one step on the way to solving this problem. By itself, that is not the solution, but it's a necessary part of the solution.

What about the other equation?

Answer 35

what other equation the one about how many quarters and nickles?

Answer 36

.25q + .05n = $2.75 is correct.

The other equation necessary to solve this problem is: (yes, it's the one about how many quarters and how many nickels.)

Answer 37

thats the one part im having real trouble on @mathmale

Answer 38

"You have 15 coins in your pocket that are either quarters (q) or nickels (n)."

Total # of coins is 15. How many quarters have you? How many nickels? You must represent the number of each type of coin using a letter of the alphabet; use q and n.

Write the equation that shows that the sum of the # of quarters and the # of nickels is 15.

Answer 39

Hint: We've already done this. Just review the above dialogue and you'll find the equation in question.

Again: One equation is for the value of the coins: .25q + 0.05n = $2.75

The other one is for the number of coins, ignoring their value. Where's that equation?

Answer 40

10 quarters and 5 nickles @mathmale

Answer 41

Actually, we had this equation before. It's q + n = 15. The total number of coins is 15, whcih includes q quarters and n nickels.

Thus you have the system of linear equations

.25q + 0.05n = $2.75
q + n = 15

How would you solve tht for q and n?

In your shoes I would multiply the first equation by 100, to eliminate the fractions .25 and 0.05.

Answer 42

I'm sorry if this problem is hard for you. But for us to finish it, I need y our full attention.

Answer 43

Remember, you can always ask questions to clear up things you don't understand.