a) Brown bag has 5 more $2 notes than blue bag. Question says there are 15 $2 notes altogether.

So take 15 - 5 = 10. Now both bags have the same number of $2 notes.

10 ÷ 2 = 5. There are 5 $2 notes in the blue bag to begin with.



b) 2/3 of the notes in brown bag = 3/4 of the notes in blue bag.

It's like saying 2 units out of 3 in brown bag = 3 units out of 4 in blue bag.

Since the 2 units and the 3 units are equal, make the number of units the same.

Brown: 2 units x 3 = 6 units
Blue: 3 units x 2 = 6 units

But we know that total units in brown bag is 3. So 3 units x 3 = 9 units

For blue bag, it's 4 units x 2 = 8 units.

So brown bag → 9 units
Blue bag → 8 units.

Question says there are 2 more $5 notes in the blue bag than brown bag.

But from part a), we know that there are 5 more $2 notes in the brown bag than blue bag.

So if we think in terms of the number of notes,

5 - 2 = 3.

Overall, there are 3 more notes in the brown bag than blue bag.

9 units - 8 units = 1 unit.

So since number of notes in brown bag is 1 unit more than in blue bag,

1 unit = 3 notes.

Number of notes in blue bag
= 8 x 3 = 24


Number of $5 notes in blue bag
= 24 - 5 = 19

Total amount of $ in blue bag
= 19 x $5 + 5 x $2
= $95 + $10
= $105