SOLUTION: Grace and Janice had an equal amount of money at first. After Grace spent $245 and Janice $74, Janice had 4 times as much money as Grace. How much money did each girl have at first

Algebra.Com
Question 1133140: Grace and Janice had an equal amount of money at first. After Grace spent $245 and Janice $74, Janice had 4 times as much money as Grace. How much money did each girl have at first?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Both start each with x dollars.

Grace,
Janice,


Solve for x.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
You can solve it mentally.


Let x be the amount which Grace still has after spending her 245 dollars.


Then the amount which Janice still has after spending her 74 dollars is 4x.


The difference, 4x - x = 3x, is equal to the difference 245 - 74, which is 171 dollar (note that you can calculate it mentally !).


Then x =  = 57 dollars (and you can calculate it mentally, too !)


Hence, Grace did have initially  245 + 57 = 302 dollars.     ANSWER


CHECK.  302 - 245 = 57;   302 - 74 = 228;     = 4.     ! Correct !

Solved.


RELATED QUESTIONS

Lily and Sara each had an equal amount of money at first. After Lily spent $18 and Sara... (answered by solver91311)
Bertram and Ernie had $988 altogether. After Bertram spent 4/5 of his money and Ernie... (answered by ikleyn,SCrappingDude)
Betty had 4 times as much money as Cathy,Afrer Betty had spent $ 12 and Cathy had... (answered by stanbon)
Janice has $14.00 for he carnival this Friday night. She had to buy one ticket at $9.50... (answered by josgarithmetic)
As a promotional offer, a new hair salon offered its services at 20% discount for the... (answered by josmiceli)
Aini and Bala had 2500 at first. After Aini spent 55, Bala had 4 times as much money as... (answered by ikleyn)
Hi Connie and alice had an equal amount of money. Connie gave alice 126 dollars and... (answered by josgarithmetic)
A had 4 times as much money as B. After A had given B $210, they had an equal amount of... (answered by josgarithmetic)
Lily and Sara each had an equal amount of money at first. After Lily spent $18 and Sara... (answered by drcole)