#2**0 **

Ann and James has some stickers. ann gave jamES 25% of her stickers. james has twice as ann stickers. If they had a total of 117 stickers. how many stickers did each of them from the beginning?

Guest Feb 6, 2012

#3**0 ****after:**

a: stickers of ann at the end

b: stickers of james at the end

a+b=117 (If they had a total of 117 stickers)

b=2*a (james has twice as ann stickers)

[input]solve( a+b=117, b=2*a )[/input]

{a=39, b=78}

or solve by hand: a+(2*a)=117 => 3a=117 => a=117/3=39 , b=2*a => b=2*39=78

**before:**

aa: stickers of ann at the beginning

bb: stickers of james at the beginning

aa*0.75=a (ann gave jamES 25% of her stickers)

aa=a/0.75=39/0.75=**52**

bb=117-52=**65**

**let's check:**

(52*0.75)+(65+52*0.25)=**117**

a: stickers of ann at the end

b: stickers of james at the end

a+b=117 (If they had a total of 117 stickers)

b=2*a (james has twice as ann stickers)

[input]solve( a+b=117, b=2*a )[/input]

{a=39, b=78}

or solve by hand: a+(2*a)=117 => 3a=117 => a=117/3=39 , b=2*a => b=2*39=78

aa: stickers of ann at the beginning

bb: stickers of james at the beginning

aa*0.75=a (ann gave jamES 25% of her stickers)

aa=a/0.75=39/0.75=

bb=117-52=

(52*0.75)+(65+52*0.25)=

admin
Feb 6, 2012