Answer:
Phoebe has £180, Andy has £60, and Polly has £30.
Step-by-step 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!
<em>So, what do we know?</em>
Well we know the following information...
<em>p + a + o = 270</em>
(Phoebe + Andy + Polly = £270)
<em>p = 3a</em>
(Phoebe = 3 times more than Andy)
<em>a = 2o</em>
(Andy = 2 times more than Polly)
To be able to solve this equation we have to solve for just one variable first.<em>The only one we can use is "o" for Polly!</em>
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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. <em>(To do this we will input our value, 30, where our variable is "o")</em>
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<u>Andy</u>
a = 2(30) (Input term)
a = 60 (Multiply by 2 to get final answer)
<em>(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)</em>
<u>Phoebe</u>
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! :)
<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>
-SGO
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