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?

Frazer = x = 10 trees

Sally = y = 7 trees

Frame = z = 14 trees

Step-by-step 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

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value