SOLUTION: Hi
Mr Jones has some notes. 1/5 of them are 2 dollar notes. 3/8 of the remainder are 10 dollar notes. The remaining notes are 5 dollar notes. The total sum he has $295 . How many
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Mr Jones has some notes. 1/5 of them are 2 dollar notes. 3/8 of the remainder are 10 dollar notes. The remaining notes are 5 dollar notes. The total sum he has $295 . How many
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Question 1208132: Hi
Mr Jones has some notes. 1/5 of them are 2 dollar notes. 3/8 of the remainder are 10 dollar notes. The remaining notes are 5 dollar notes. The total sum he has $295 . How many 10 dollar notes does he have. Found 3 solutions by josgarithmetic, greenestamps, MathTherapy:Answer by josgarithmetic(39620) (Show Source):
1/5 of the notes are $2 notes, so 4/5 of the notes are $5 or $10 notes.
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.
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.
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
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
Now use those expressions to write and solve an equation that says the total amount is $295.
Hi
Mr Jones has some notes. 1/5 of them are 2 dollar notes. 3/8 of the remainder are 10 dollar notes. The remaining notes are 5 dollar notes. The total sum he has $295 . How many 10 dollar notes does he have.
Let number of notes be N
Then number of $2 notes = , and remaining notes =
Also, number of $10 notes =
Remaining notes (number of $5 notes) =
Amount in $2 notes:
Amount in $10 notes:
Amount in $5 notes:
Total amount: $295
We now get:
4N + 30N + 25N = 2,950 ----- Multiplying by LCD, 10
59N = 2,950
Number of notes, or
Number of $10 notes: