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Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends Frazer gets 3 more trees than Sally Sally gets 7 fewer trees than flame How many trees do each of his friends get?

User Mueslo
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1 Answer

4 votes

Answer:

Frazer = x = 10 trees

Sally = y = 7 trees

Frame = z = 14 trees

Explanation:

We have 3 friends

They are represented by:

Frazer = x

Sally = y

Frame = z

Total number of trees donated = 31

Rudolph is collecting Christmas trees to donate to needy families. He collects 31 trees He donates all of his trees to 3 of his friends

Frazer gets 3 more trees than Sally

x = y + 3

Sally gets 7 fewer trees than Flame

y = z - 7

z = y + 7

How many trees do each of his friends get?

x + y + z = 31

y + 3 + y + y + 7 = 31

3y + 10 = 31

3y = 31 - 10

3y = 21

y = 21/3

y = 7 trees

x = y + 3

x = 7 + 3

x = 10 trees

z = y + 7

z = 7 + 7 trees

z = 14 trees

Therefore:

Frazer = x = 10 trees

Sally = y = 7 trees

Frame = z = 14 trees

User Kenshin
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4.3k points