Question

Yvette has 5 more nickels than dimes. If the value of her money is $1.30, how many coins of each kind does she have?

Answer 1

@gypsy1274 help me please?

Answer 2

Do you know how to solve systems of equations?

Answer 3

Yes I do

Answer 4

@gypsy1274

Answer 5

No need to tag me, after I post a response, I will get a notification whenever another response is posted.
nickels + dimes = 1.30
The second equation will need to include the values of those coins. Give it a try.

Answer 6

I'm still a bit confused on this so far I got $1.05

Answer 7

Umm @gypsy1274 ?

Answer 8

What is $1.05? What was the second equation?

Answer 9

Well I did $0.25+x=$1.50

Answer 10

Brain went dead....rebooting.....

Answer 11

☺

Answer 12

My train of thought derailed, let me get it back on track.....

Answer 13

Yvette has 5 more nickels than dimes. If the value of her money is $1.30, how many coins of each kind does she have?
\(n=d+5\) because there are five more nickels than dimes.

Answer 14

\(0.05n+0.10d=1.30\) because the value of the nickels plus dimes equals $1.30
Train is back on the rails now, sorry for the delay folks....

Answer 15

It's fine I guess I just want to figure this problem out because I have more HW to do for other classes

Answer 16

Do you understand these equations and where they came from? I'm sure they are correct this time, just verified it.

Answer 17

Since it says "5 more nickels" doesn't that mean it'll be 0.25 because your adding all the dimes together?

Answer 18

5 nickels are $0.25, that's true, but in that sentence, they are talking about the number of the coins not the values. The number of nickels equals the number of dimes plus five.

Answer 19

How do I know what to plug in in n and d ?

Answer 20

You don't plug in, you solve for them.
\(n=d+5\) is already solved for n so plug \(d+5\) in for n in the other equation:
\(0.5n+0.1d=1.30 \implies 0.5(d+5)+0.1d=1.30\)

Answer 21

I know you're trying to help me but your explaining it very good

Answer 22

I mean your not explaining it good my bad lol

Answer 23

@DebbieG - Perhaps you can try?

Answer 24

@e.mccormick I'm confusing this poor student, maybe you could help clarify?

Answer 25

@gypsy1274 thanks for trying though(: I appreciate it

Answer 26

Yah, I would do it with one equation. You have Dimes x and nickles x+5. Then, when you add those up with the proper value assigned you get 1.3.

Answer 27

What do you mean "add those up with the proper value"?

Answer 28

A dime is not just a word. It is a decimal value. =)

Answer 29

There is no reason for n or d because those have values. There is a count relationship between them. That count is a variable. So there are x dimes and x+5 nickles.

Answer 30

It still doesn't make much sence, my bad

Answer 31

If I said I had 72 dimes, you would instanly know I had $7.20. Right?

Answer 32

Yes

Answer 33

But why would you know?

Answer 34

Bc if I multiply 0.72 and 10 I get 7.20

Answer 35

Why .72? I had 72, not 72% of a dime.

Answer 36

Bc 72 dimes is written like that in decimal point

Answer 37

Yes. A dime is ten cents, or $0.10, and 72\(\times\)$0.10.

Similarly, a nickle is five cents or $0.05.

All I am saying is use that knowledge in the setup of the problem.

Answer 38

Would it be 0.10(5)+d=1.30

Answer 39

Not sure how you got there, but it is progress! That is one equation with one unknown, which is great. It is just not the right equation.

Answer 40

If I try and find d dimes and n nickles, I have to do two equations in two unknowns. But, if I restate the question this way:

Yvette has 5 more $0.05 than $0.10. If the value of her money is $1.30, how many coins of each kind does she have?

Can you do it in one unknown?

Answer 41

Ughhhhhhh!!!

Answer 42

I honestly have no clue right ow I have more HW to do still

Answer 43

As I said before, the dimes is the unknown. That means $0.10x must be part of this.

Answer 44

0.10(5)

Answer 45

I already gave you the dimes part. 0.10x. You need the nickles part.

Answer 46

How many nickles does it say she has? How would you write that if the number of dimes in the unknown?

Answer 47

$0.10x+$0.05y=$1.30

Answer 48

The problem with that is that it has two variables. So you need to get y in terms of x using a second formula. If x is the number of dimes, what is y in terms of x?

Answer 49

The number of nickels

Answer 50

That is y in terms of y. You need y in terms of x. Here is a huge clue. Take the first sentence. Replace dimes with x and nickles with y.

Answer 51

$0.05x+$0.10y=$1.50

Answer 52

That is completely wrong. Stick with $0.10x+$0.05y=$1.30. It is correct. But you need a second equation.

Yvette has 5 more nickels than dimes.
Yvette has 5 more y than x.

What is that line, and JUST that line, as a mathematical formula?

Answer 53

An equation ill say

Answer 54

Let me go completely sideways for a second to show an example using similar language.

If I have three pears and four apples, I have seven fruit. So:
3p+4a=7f.

But what if I said it differently?

I have one more apples than pears, and I have three pears. Then:
?a = 3p+1

The critical part is:
a=p+1

Saying some more this than that means: that = this + some.

Answer 55

$0.05+0.10x=$1.30 ?

Answer 56

The $1.30 is not involved in the second equation. Just x, y, and some number creating a relationship between x and y. x being the number of dimes, y being the number of nickles, and the line: Yvette has 5 more nickels than dimes. Telling you all you need to know about that relationship.

Answer 57

They give you four numbers in this equation:
Nickle, AKA:$0.05
Dime, AKA: $0.10
Total $1.30
and 5.

You took it with two unknowns, number of nickles y and number of dimes x. OK.

To do two equations, they must both use x and y. However, the goal is to break up the rest of the information. The first equation you did is fine.

$0.10x+$0.05y=$1.30

It uses both x and y as required. It also uses $0.10, $0.05, and $1.30. Therefore your second equation can NOT use those or it is not generating new information. That leaves you with an equation involving: x, y, and 5. They tell you how to use 5 when they say:

Yvette has 5 more nickels than dimes.

So what is the equation?