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Elvis had $247.60 more than Matthew. Elvis spent 3/8 of his money and Matthew spent 25% of his money. They had $506.75 left altogether.
a) How much money did Matthew have left?
b) How much money did Elvis have at first?

 Aug 3, 2023

Best Answer 

 #1
avatar+129316 
+1

Let M be the amount that Matthew had in the beginning

Then Elvis had  M + 247.60

 

When Matthew spends 25% of his money he has 75% left =  .75M =  (3/4)M = (6/8)M

When Elvis spends 3/8 of his  money he has  (5/8)( M + 247.60) left

 

So  together, they have  506.75 left....so...in  equation form, we have

 

(6/8)M + (5/8)(M + 247.60) = 506.75

 

(6/8 + 5/8)M + (5/8)247.60 = 506.75

 

(11/8)M  + 154.75 = 506.75

 

(11/8)M = 50675 - 154.75

 

(11/8)M = 352

 

M = 352 ( 8/11) =   256  =what Matthew had at first

 

a)  Matthew had  .75 * 256 =  $192  left

 

b) Elvis had 256 + 247.60  = $503.60 at first

 

 

cool cool cool

 Aug 3, 2023
 #1
avatar+129316 
+1
Best Answer

Let M be the amount that Matthew had in the beginning

Then Elvis had  M + 247.60

 

When Matthew spends 25% of his money he has 75% left =  .75M =  (3/4)M = (6/8)M

When Elvis spends 3/8 of his  money he has  (5/8)( M + 247.60) left

 

So  together, they have  506.75 left....so...in  equation form, we have

 

(6/8)M + (5/8)(M + 247.60) = 506.75

 

(6/8 + 5/8)M + (5/8)247.60 = 506.75

 

(11/8)M  + 154.75 = 506.75

 

(11/8)M = 50675 - 154.75

 

(11/8)M = 352

 

M = 352 ( 8/11) =   256  =what Matthew had at first

 

a)  Matthew had  .75 * 256 =  $192  left

 

b) Elvis had 256 + 247.60  = $503.60 at first

 

 

cool cool cool

CPhill Aug 3, 2023

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