SOLUTION: Please help me with this: 3 volunteers work together stuffing 90 envelopes. Susan stuffs twice as many as Judy and Valerie stuffs three times as many as Judy. How many did each

Question 617686: Please help me with this: 3 volunteers work together stuffing 90 envelopes. Susan stuffs twice as many as Judy and Valerie stuffs three times as many as Judy. How many did each stuff?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let j = the number of envelopes that judy stuffs
let s = the number of envelopes that susan stuffs.
let v = the number of envelopes that valerie stuffs.
your equation is:
s + j + v = 90
you are given that:
susan stuffs twice as many as judy stuffs.
this means that:
s = 2j
you are also given that:
valerie stuffs 3 times as many envelopes as judy stuffs.
this means that:
v = 3j
in your equation of:
s + j + v = 90
replace s with 2j and replace v with 3j to get:
2j + j + 3j = 90
add them all together to get:
6j = 90
divide both sides of the equation by 6 to get:
j = 90/6 = 15
that's the number of enevelopes that judy stuffs.
susan stuffs twice as many which is equal to 30
valerie stuffs three times as many which is equal to 45.
15 + 30 + 45 = 45 + 45 = 90

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