SOLUTION: two girls each have a different number of candies. jasmine said if you give me 5 i will have as many you. Wendy said if you give me 5 i will have twice as many as you.how many cand

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: two girls each have a different number of candies. jasmine said if you give me 5 i will have as many you. Wendy said if you give me 5 i will have twice as many as you.how many cand      Log On


   

Question 510894: two girls each have a different number of candies. jasmine said if you give me 5 i will have as many you. Wendy said if you give me 5 i will have twice as many as you.how many candies did each girl have?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let j = original no. Jasmine had
let w = original no. Wendy had
:
two girls each have a different number of candies.
:
"jasmine said if you give me 5 i will have as many you."
j + 5 = w - 5
j = w - 5 - 5
j = w - 10
:
Wendy said if you give me 5 i will have twice as many as you
w + 5 = 2(j-5)
w + 5 = 2j - 10
w = 2j - 10 - 5
w = 2j - 15
replace j with (w-10)
w = 2(w-10) - 15
w = 2w - 20 - 15
w - 2w = -35
-w = -35
w = 35 candies had Wendy
then
j = 35 - 10
j = 25 candies had Jasmine
:
Check and see that this is true in both statements