Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?
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J=Jennifer amount of money
B= Brian amount of money
Jennifer has 60 dollars more than Brian: J=60+B
"If she were to give Brian 1/5 of her money", then Brian has J/5+B, which is equal to "25% less than the amount that Jennifer would then have", or (4J/5)x75%.
In mathematical terms, we can express the relationships with a linear system of two equations:
J/5+B=(4J/5)75% or J+5B=12J/4 or 4J+20B=12J. then B=2J/5
Therefore, J=60+2J/5 or J=100