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# How to do

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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
+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

Aug 3, 2023

### 1+0 Answers

#1
+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

CPhill Aug 3, 2023