there are a total of 240 pieces of $5 notes and $10 notes.The numbers of $5 and $10 notes are in the ratio 3:2 find the number of $10

In the Name of Allah, the Most Gracious, the Most Merciful.

Mathematics
Ratios and Proportions

Total amount of notes = 240 pieces
Known ratio = 3 : 2 ( $5 notes : $10 notes)

First, we are going to add a variable into the ratio. We will be working out on that so that the numbers in the ratio can be multiplied by the value of the variable itself.

3 : 2
3x : 2x

We'll be adding both of the numbers of the ratio.

3x + 2x = ?

There are a total of 240 pieces of $5 and $10 notes, so let's add them to the line.

3x + 2x = 240
5x = 240
x = 240 ÷ 5
x = 48

The variable has a value of 48. Multiply the ratio number that represents the amount of the $10 notes. (2x)

2x
= 2 × 48 (2x -> 2 × x, x = 48)
= 96

There we have it!
In conclusion, there are 96 pieces of $10 notes.
I hope I did help!