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

Algebra.Com
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): You can put this solution on YOUR website!
Some how I do not think this is a very neat way to tabulate the described information: 
NOTE, $2              n/5

NOTE, $5               (3/8)(n-(n/5))

NOTE, $10            n-(n/5+(3/8)(n-(n/5)))

TOTAL NOTES              n


Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!


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.






ANSWER: the number of $10 notes is 3x = 3(5) = 15
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
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:

RELATED QUESTIONS

Hi Rex had altogether 212 $1 & $5 notes. After using 1/3 of the $1 notes,he took out... (answered by ankor@dixie-net.com,ikleyn,greenestamps)
John had only 10-dollar notes and David had only 5-dollar notes. The number of notes... (answered by josgarithmetic)
jonas has four pieces of dollar notes in his pocket. the total amount of dollar notes is... (answered by Fombitz)
Benjamin went shopping with 15 more ten-dollar notes than two-dollar notes. He paid $270... (answered by mccravyedwin,ikleyn)
Hi stephanie had a total of 80 pieces of 2dollar and 10dollar notes. After spending 2/5... (answered by josmiceli)
Hi Bob has 3 more $10 notes than $2 notes. The total value of the $2 notes is $94 less... (answered by math_tutor2020,mananth,josgarithmetic,greenestamps)
Sheik had some $2, $5 and $10 notes. The ratio of the number of $2 notes to the number of (answered by math_tutor2020,josgarithmetic,greenestamps)
A boy has Rs 728 in denomination of Rs 2 notes,Rs 5 notes and Rs 10 notes in the ratio (answered by ikleyn,josgarithmetic,MathTherapy)
A boy has 728 rupees in denomination of 2 rupee notes , 5 rupee notes and 10 rupee notes... (answered by ikleyn)