Question

Amy had 3 times as much money as Betty. After they had spent $60 each, Amy had 4 times as much money as Betty. How much money did Amy have at first? explanation step by step, please

Answer 1

Answer:

answer is 540

Step-by-step explanation:

solution is given in the pic

Answer 2

QUESTION:-

Amy had 3 times as much money as Betty. After they had spent $60 each, Amy had 4 times as much money as Betty. How much money did Amy have at first?

GIVEN:-

• AMY HAS 3 TIMES AS MUCH AS BETTY HAVE.
• AFTER SPENDING  $60 each

• AMY HAD 4 TIMES AS MUCH BETTY HAVE.

EXPLANATION:-

LET BETTY  HAD TOTAL OF $ x ,THEN AMY WILL HAVE $3 x .

SO,AFTER SPENDING $60 ,BETTY WILL HAVE $ x -60 AND AMY WILL HAVE $ 3x -60.

SO,IF WE INCREASE BETTY HOLDING BY 4 TIMES THEN THE EQUATION WILL BE EQUAL.

ATQ,

4(x-60)=3x-60

4x-240=3x-60

4x-3x=-60+240

x=-180

SO WE GOT X=180

SO AMMY HAD(BEFORE SPENDING $60) 3x 180 x 3==>$540

AND BETTY HAD (BEFORE SPENDING $60)=x=180

LET'S VERIFY OUR ANSWER,

SO IF WE TAKE AWAY $60 FROM AMY AND BETTY THEN,THE AMOUNT AMY WILL HAVE IS 4 TIMES THAT OF BETTY

SO LET'S TAKE $ 60 FROM EACH.AFTER TAKING BETTY WILL HAVE ,$180-60=120$ AND AMY WILL HAVE 540-60=480.

SO WE SAY AMY NOW HAS 4 TIMES AS MONEY AS BETTY HAVE .

SO HENCE,VERIFIED.