minu Posted July 18, 2015 Share Posted July 18, 2015 Jennifer has 60 dollars more than Brain. If she were to give Brain 1/5 of her money , Brain would have 25% less than the amout that jennifer would then have .How much money does Jennifer have ? Quote Link to comment Share on other sites More sharing options...
Brent Hanneson Posted July 18, 2015 Share Posted July 18, 2015 Jennifer has 60 dollars more than Brain. If she were to give Brain 1/5 of her money , Brain would have 25% less than the amout that jennifer would then have .How much money does Jennifer have ? Here's one approach: Let J = Jennifer's $ Let B = Brian's $ Jennifer has 60 dollars more than Brian. So, J = B + 60 If Jennifer were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. If Jennifer were to give Brian 1/5 of her money, then Jennifer has (4/5)J dollars, and Brian has B + (1/5)J dollars If Brian has 25% less than the amount that Jennifer has, then Brian's amount = 3/4 Jennifer's amount. So, we can write: (3/4)(4/5)J = B + (1/5)J Simplify, to get (3/5)J = B + (1/5)J Multiply both sides by 5 to get: 3J = 5B + J Rearrange: 2J = 5B We now have the system: J = B + 60 2J = 5B When we solve it, we get J = 100(as well as B = 40) Cheers, Brent Quote Link to comment Share on other sites More sharing options...
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.