SOLUTION: Hi Elaine had some sweets. When she ate 2/7 of them and gave 36 to her brother she had 2/7 left. How many did she have at first. Thanks

Algebra.Com
Question 1167892: Hi
Elaine had some sweets. When she ate 2/7 of them and gave 36 to her brother she had 2/7 left. How many did she have at first.
Thanks

Found 4 solutions by josgarithmetic, ikleyn, MathTherapy, greenestamps:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Try again.
and then the same , but of what?

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

     + 36 +  = x


Multiply all the terms by 7


    2x + 36*7 + 2x = 7x

    36*7           = 7x - 2x - 2x

    36*7           = 3x

    12*7           = x

       x           = 84.


ANSWER.  At first, she had  84  sweets.

Solved.



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hi
Elaine had some sweets. When she ate 2/7 of them and gave 36 to her brother she had 2/7 left. How many did she have at first.
Thanks
With the original number of sweets being S, and after eating , she will have  of sweets, remaining
We then get:
3S = 7(36) ------ Cross-multiplying
Original number of sweets, or
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


She ate 2/7 of the sweets and still had 2/7 of them left after she gave some to her brother.

That means the 36 sweets she gave her brother were 3/7 of the number she started with. (2/7 plus 2/7 plus 3/7 = 7/7 = all of them)

(3/7)x = 36
x = 36(7/3) = 12*7 = 84


RELATED QUESTIONS

Marilyn had a bag of gold coins. She gave 1/8 of them to her mother and then gave 1/2 of... (answered by edjones,checkley71)
Jane and Tom had some sweets each. Jane gave 1/2 of what she had to Tom. Then Tom gave... (answered by Theo,MathTherapy)
Hi Gary and Dave had some sweets. After Gary gave 5/7 of his sweets he had 2/3 as many... (answered by josgarithmetic,ikleyn)
Hi Ken and Ivan had some sweets. After ken gave away 5/7 of his sweets, he had 2/3 as... (answered by josgarithmetic,MathTherapy,advanced_Learner)
Hi Bill and Ben had some sweets. After giving away 5/7 of his sweets, Bill had 2/3 as (answered by VFBundy)
Shomika was helping her family pick oranges. She took some oranges home to share with... (answered by josmiceli)
Kathleen had some money at first. She spent 1/5 of it on a watch and 2/3 of it on a... (answered by ikleyn)
Irene gave half of her marbles to patty and then 8 marbles to maria. she had 16 marbles... (answered by josmiceli)
Andy, Bernard and Cassandra shared a number of sweets in the ratio 3:7:5. Andy gave... (answered by greenestamps)