SOLUTION: Together, a football and a basketball cost $65. A football costs $5 more than 1/2 of what a basketball costs. How much does a football cost? Please help me quickly!

Algebra ->  Finance -> SOLUTION: Together, a football and a basketball cost $65. A football costs $5 more than 1/2 of what a basketball costs. How much does a football cost? Please help me quickly!      Log On


   



Question 924644: Together, a football and a basketball cost $65. A football costs $5 more than 1/2 of what a basketball costs. How much does a football cost? Please help me quickly!
Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Together, a football and a basketball cost $65. A football costs $5 more than 1/2 of what a basketball costs. How much does a football cost? Please help me quickly!

Let cost of football be F, and cost of basketball, B
Therefore, F + B = 65______B = 65 - F ------ eq (i)
Also, F+=+%281%2F2%29B+%2B+5_____F+=+B%2F2+%2B+5 ------- eq (ii)
F+=+%2865+-+F%29%2F2+%2B+5 ------ Substituting 65 - F for B in eq (ii)
2F = 65 - F + 10 ------- Multiplying by LCD, 2
2F + F = 65 + 10
3F = 75
F, or cost of a football = 75%2F3, or $highlight_green%2825%29
You can do the check!!
===================
Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
Further help is available, online or in-person, for a fee, obviously.
For FREE info and answers to questions about the ASVAB exam, the NYS 3 – 8 city/state wide exams,GENERAL
MATH and HOMEWORK QUESTIONS, or MATH QUESTIONS related to the Regents Integrated Algebra,
Regents Geometry, Regents Algebra 2/Trigonometry, SHSAT, COOP/HSPT/TACHS, PSAT, SAT, ACT, SSAT/ISEE,
GRE, CLEP, and the TASC/GED, you can visit: http://asvabstudyzone.freeforums.net/.