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?
+128707 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
+128707 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
