Question 1208132
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1/5 of the notes are $2 notes, so 4/5 of the notes are $5 or $10 notes.<br>
3/8 of those remaining 4/5 of the notes are $10 notes.
(3/8)*(4/5) = 12/40 = 3/10.
3/10 of the notes are $10 notes.<br>
Together the $2 notes and the $10 notes are 1/5 + 3/10 = 5/10 = 1/2 of the notes, so 1/2 of the notes are $5 notes.<br>
The fractions of the total number of notes for the three denominations are then
$2: 1/5 = 2/10
$10: 3/10
$5: 1/2 = 5/10<br>
Seeing the common denominator 10 in those fractions, let the numbers of notes of the three denominations be
2x = # of $2 notes
3x = # of $10 notes
5x = # of $5 notes<br>
Now use those expressions to write and solve an equation that says the total amount is $295.<br>
{{{2x(2)+3x(10)+5x(5)=295}}}
{{{4x+30x+25x=295}}}
{{{59x=295}}}
{{{x=295/59=5}}}<br>
ANSWER: the number of $10 notes is 3x = 3(5) = 15<br>