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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

After Jamal spent 3/8 of his money and Caroline spent 3/8 of her money Jamal had \$40 more than Caroline. How much money did Caroline have?

### 1 Answer by Expert Tutors

Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
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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
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