a sum of 2440 is made up of #100 and #10 notes. there are six times as many #100 notes as there are #10. find the number of #100 notes
Let's assume the number of #10 notes is x.
According to the given information, the number of #100 notes is six times the number of #10 notes, so it is 6x.
The value of one #100 note is $100, and the value of one #10 note is $10.
Therefore, the total value of the #100 notes is 100 * (6x) = 600x.
The total value of the #10 notes is 10 * x = 10x.
The total value of the notes is $2440, so we can write the equation:
600x + 10x = 2440.
Combining like terms, this equation simplifies to:
610x = 2440.
To solve for x, divide both sides of the equation by 610:
x = 2440/610
x ≈ 4.
Now, we need to find the number of #100 notes, which is 6x = 6(4) = 24.
Therefore, the number of #100 notes is 24.