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?

Guest Aug 3, 2023

#1**+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

CPhill Aug 3, 2023

#1**+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