SOLUTION: John had only 10-dollar notes and David had only 5-dollar notes. The number of notes John had was 2/3 of the number of notes David had. After John had given David $450 in $10 not

Question 1186479: John had only 10-dollar notes and David had only 5-dollar notes. The number of notes
John had was 2/3 of the number of notes David had. After John had given David $450 in
$10 notes, the number of notes John had was 1/6 of the number of notes David had.
How much money did David have in the end?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!

                    Notes         Transfer John to David (45 notes)

John ($10)           j             j-45

David ($5)           d             d+45

                   j=(2/3)d        j-45=(1/6)(d+45)

Maybe easier to change those two equations:

Simplify and solve the system and find how many notes each of John and David started with.
Compute the money for each. At the finish, John had $450 less; and David had $450 more.

Not the only method.
RELATED QUESTIONS
Three boys, Adam, Brent and Clive had the same number of notes. Adam and Brent each had (answered by greenestamps)

Benjamin went shopping with 15 more ten-dollar notes than two-dollar notes. He paid $270... (answered by mccravyedwin,ikleyn)

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)

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)

Hi stephanie had a total of 80 pieces of 2dollar and 10dollar notes. After spending 2/5... (answered by josmiceli)

Hi Mrs Taylor withdrew an equal number of $2 and $10 notes. She placed 40% of the 2... (answered by Theo)

The number of $2 notes Kimi saved was 4/11 of the $5 notes. If he had 28 less $2 notes... (answered by greenestamps)

Hi Mr Jones has some notes. 1/5 of them are 2 dollar notes. 3/8 of the remainder are 10... (answered by josgarithmetic,greenestamps,MathTherapy)

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)