Answer:
Phoebe has £180, Andy has £60, and Polly has £30.
Explanation:
Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!
So, what do we know?
Well we know the following information...
p + a + o = 270
(Phoebe + Andy + Polly = £270)
p = 3a
(Phoebe = 3 times more than Andy)
a = 2o
(Andy = 2 times more than Polly)
To be able to solve this equation we have to solve for just one variable first.The only one we can use is "o" for Polly!
3(2o) + 2o + o = 270
6o + 2o + o = 270 (Distribute 3 to get like terms)
9o = 270 (Combine like terms [6+2+1])
o = 30 (Divide by 9 on both sides to get "o" by itself)
Now that we have how much Polly has, we have to solve for Andy and Phoebe. (To do this we will input our value, 30, where our variable is "o")
Andy
a = 2(30) (Input term)
a = 60 (Multiply by 2 to get final answer)
(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)
Phoebe
p = 3(60) (Input term)
p = 180 (Multiply by 3 to get final answer)
Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.
p + a + o = 270
180 + 60 + 30 = 270!!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO