Question

Sue has $1.75 in quarters, dimes, and nickles. She has the same number of quarters and dimes. The dimes are worth .40 in all.

Part A: how many coins are dimes or quarters. Explain.

Part B: What is the total value of the nickles? Justify your answers.

Part C: Write and solve an equation to determine how many nickles Sue has.

Answer 1

so if she has the same number of dimes and quarters and the dimes are worth 40 cents then how many quarters wll be there?

Answer 2

4

Answer 3

but what im confused at is that is it 1.75 each coin or total of quarter, nickel, and dime

Answer 4

She has a total of $1.75.

Answer 5

Can't have $1.75 in dimes, you know...

Answer 6

And even if that wasn't a problem, if she has 40 cents in dimes, it can't be $1.75 for each kind of coin, either.

Answer 7

oh k

Answer 8

Do you still have questions about this problem?

Answer 9

yes

Answer 10

Use your words :-)

Answer 11

with quarters plus dimes you have 1.40

Answer 12

so basically you need 7 nickles right

Answer 13

Indeed. How many nickels do we need to get us to the $1.75?

Answer 14

Yes, 4 dimes, 4 quarters, 7 nickels gets you $1.75 with the constraints imposed by the problem

Answer 15

but i dont know how to set the equation though

Answer 16

well, if you have \(d\) dimes, the value of the dimes (in cents) is \(10d\), right?

Answer 17

actually for the equation we need to find how many nickles she has so i think n would the variable

Answer 18

so 1.75- .40 - 1.00 = n

Answer 19

how about we answer my question :-)

Answer 20

ok and yes

Answer 21

what would be the expression for the value of \(q\) quarters?

Answer 22

d(40) + .4q .

Answer 23

no. quarters are worth how many cents each?

Answer 24

oh yes .25

Answer 25

times 4 right

Answer 26

No, wrong on both counts. A quarter is worth 25 cents, or 0.25 dollars.

I want an expression for the value of \(q\) quarters. You have no knowledge of the value of \(q\).

Answer 27

Just as the value of \(d\) dimes (in cents) is \(10d\), the value of \(q\) quarters (in cents) is \(25q\).

Answer 28

ctually i ihave knowledge and dont be hasty god relax i made a mistake

Answer 29

actually**

Answer 30

What is the expression for the value (in cents) of \(n\) nickels?

Answer 31

and finally, what is the value of $1.75, in cents?

Answer 32

1.75 - 10d *4 + 25q +4 = n

Answer 33

please, do as I ask, rather than trying to jump ahead. it will save time.

Answer 34

to find the nickles in an expression you would have to add the dimes and quarters

Answer 35

Two options:

1) answer my questions
2) wait for someone else to help you

Your choice.

Answer 36

You are correct! :D

Answer 37

Thanks! :D

Answer 38

Sorry, \[1.75 - 10d *4 + 25q +4 = n\]is not the correct answer.