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After Jamal spent 3/8 of his money and Caroline spent 3/8 of her money Jamal had $40 more than Caroline

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1 Answer

let J= amount of money Jamal has
let C= amount of money Caroline has
(5/8)J=amount of money Jamal has left
(5/8)C=amount of money Caroline has left
Jamal had $40 more than Caroline after spending their money
(5/8)J=(5/8)C+40
multiply both sides by (8/5)
(8/5)(5/8)J=(8/5)(5/8)C+(8/5)(40)
J=C+64
Jamal originally had $64 more than Caroline
there are infinitely many answers
Jamal could have had $72 and Caroline $8
(5/8)($72)=$45
(5/8)($8)=$5
$45-$5=$40
Jamal could have had $80 and Caroline $16
(5/8)($80)=$50
(5/8)($16)=$10
$50-$10=$40
to get more whole number answers, use multiples of $8 for Jamal's and Caroline's amounts of money and
make sure the amounts differ by $64

Comments

I'm guessing the student left out part of the problem, such as Jamal and Caroline together started with $80 ...