I went through your examples of Verbal Problems but I'm still at a loss to set this up. I figured of the answer but it's bugging me I can't get the equation.

X

Can you help me with this Verbal Problem and show me the equation(s) I could use to solve it.
Evan has seventy bills, in an assortment of ones, fives, and tens totaling $100. How many bills of eack kind does he have.
Any help is appreciated

Relevant page
<a href="/basic-algebra/6-applied-verbal-problems.php">6. Applied Verbal Problems</a>
What I've done so far
I went through your examples of Verbal Problems but I'm still at a loss to set this up. I figured of the answer but it's bugging me I can't get the equation.

Hmmm - your problem is a bit more involved than any on that page you came from.

To get you started, you could set up something like:

Let A be the number of $1 notes
Let B be the number of $5 notes
Let C be the number of $10 notes.

From the question, what is `A + B + C = ?`

And from the question, what $ value has `A + 5B + 10C = ?`

Now, we have got 3 unknowns, but only 2 equations. But you can eliminate one of the variables by subtracting one of the equations from the other (I suggest subtract first from second, so you have positive numbers.)

Can you go from there?

X

Hello Verna
Hmmm - your problem is a bit more involved than any on that page you came from.
To get you started, you could set up something like:
Let A be the number of $1 notes
Let B be the number of $5 notes
Let C be the number of $10 notes.
From the question, what is `A + B + C = ?`
And from the question, what $ value has `A + 5B + 10C = ?`
Now, we have got 3 unknowns, but only 2 equations. But you can eliminate one of the variables by subtracting one of the equations from the other (I suggest subtract first from second, so you have positive numbers.)
Can you go from there?

Now we are left with one equation with 2 variables. How to solve it? Well, the other constraint in this problem is that `A, B` and `C` must be whole numbers.

So some trial and error quickly helps us find the right combination.

For example, if I put `B = 1`, then it turns out that `C = 26/9`, which is not a whole number. Try a few more values of `B` and you can get a whole number value for `C`. Then work backwards with your `B` and `C` values to get the `A` value, based on what the question tells you.

Regards

X

Now we are left with one equation with 2 variables. How to solve it? Well, the other constraint in this problem is that `A, B` and `C` must be whole numbers.
So some trial and error quickly helps us find the right combination.
For example, if I put `B = 1`, then it turns out that `C = 26/9`, which is not a whole number. Try a few more values of `B` and you can get a whole number value for `C`. Then work backwards with your `B` and `C` values to get the `A` value, based on what the question tells you.
Regards

Manipulating algebra fractions[Solved!] when solving the right hand side of an equation (fluid flow )
from
sqrt(25/(1-(x^4/0.1^4)))
goes to
-sqrt(25/(1-10000X^4))
this...Mickb 02 Jan 2018, 10:46

Absolute value[Solved!] If x = -|w|, which of the following MUST be true
A. x=-w
B. x=w
C. x^2=w
D. x^2=w^2
E....mansoor 25 Jun 2017, 06:26

order of operations[Solved!] As the kids always say - this is probably a stupid question - but how...RikaAlpha 07 Jul 2016, 12:30

Reciprocals[Solved!] I am doing some problems with amateur radio where they ask for the "reciprocal of...stephenB 22 Dec 2015, 05:37