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Alvin spent $28 more than 2/5 of his money on books. He was left with $44. How much did Alvin have at first?

 Aug 10, 2021
 #1
avatar+272 
0

 

a)

Step 1: suppose advin had x dollars at first. 

Step 2: make suitable equations that represents the actual scenario.

Step 3: find the value of x.

 

 



 

 

 

b) 

Total amount left= $44.

Total amount spent on books= $28+2/5 of his initial money.

Suppose advin had $x initially.

then, initial money= money left+ money spent

therefore, x=44+(28+(2/5)x ) 

x= 72+2x/5

x-2x/5 = 72

(5x-2x)/5 = 72

3x/5 = 72

x=72(5/3)

x= 120

Therefore,  Advin had total $120 at first.

 Aug 10, 2021
 #2
avatar+34374 
+1

   x     -   2/5 x    - 28   = 44

  3/5 x =  72

x = 120 dollars to start

 Aug 10, 2021
 #3
avatar
0

(3/5) / 72 = (2/5) / x

 

x = 48

 

72 + 48 = 120 

 Aug 11, 2021

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