SOLUTION: Hi Half of johns pocket money is 3/7 of toms pocket money. If tom has $2 more than john, how much does john have. thanks

Question 1118351: Hi
Half of johns pocket money is 3/7 of toms pocket money. If tom has $2 more than john, how much does john have.
thanks
Found 2 solutions by htmentor, greenestamps:
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let J = John's money and T = Tom's money
J/2 = (3/7)T [half of John's equals 3/7 of Tom's]
T = J + 2 [Tom has 2 more than John]
Substitute the 2nd equation in the 1st:
J/2 = (3/7)(J + 2)
Solve for J:
J - (6/7)J = 12/7
J = 12
John has 12 dollars, Tom has 14
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

If a solution using algebra is not required, you can get some good mental exercise solving the problem informally with logical analysis.

If half of John's pocket money is 3/7 of Tom's, then all of John's pocket money is 6/7 of Tom's.

Then if Tom has $2 more than John, you are looking for a fraction that is equivalent to 6/7 in which the denominator is 2 more than the numerator. Since in the fraction 6/7 the denominator is 1 more than the numerator, simply double the numerator and denominator of the fraction: 6/7 = (6*2)/(7*2) = 12/14.

John has $12 and Tom has $14.
RELATED QUESTIONS
Alice and Tom get the same amount of pocket money. Each week, Tom spends $23 and Alice... (answered by ankor@dixie-net.com)
john spent three quarters of his pocket money and has 10 left how much did he have... (answered by Fombitz)
ramesh has a certain money in his pocket. if he gets four times of this pocket money from (answered by TimothyLamb)
A boy spends 57% of his pocket money. If the amount that he spends is ₦7 more than he... (answered by math_tutor2020)
Hi Tom and John paid for a present in the ratio of 7 to 4 respectively. In doing so John (answered by ikleyn,greenestamps,josgarithmetic)
John, Bala and Hamid shared a sum of money in the ratio 2 : 3 : 11. i) If Bala received... (answered by stanbon)
John has four more nickels than dimes in his pocket, for a total of $1.25. How many dimes (answered by ikleyn)
Roslinda's monthly pocket money was 3/5 of Sheela's monthly pocket money. Roslinda's... (answered by mananth)
If John gives Allen $5 and Allen gives Frank $2, the 3 boys will have the same amount of... (answered by edjones)