SOLUTION: jose'and mike are members of a school wideo club. they were discussing sharing homemade videotapeds. when jose asked to borrow mike's videos, mike replied: "each video completely f
Algebra.Com
Question 63675: jose'and mike are members of a school wideo club. they were discussing sharing homemade videotapeds. when jose asked to borrow mike's videos, mike replied: "each video completely fills one videotape. i have just one videotape at home. however, i used to have lots of tapes. i gave 1/2 of my videotapes plus 1/2 a tape to joanne. i gave 1/2 of my remaning videotapes and 1/2 a tape to martiza. lastly, i gave 1/2 of my remaning videotapes and 1/2 a tape to jeff.
how could many videotapes did mike have originally? why could joanne, martiza, and jeff watch all of the videotapes that mike gave them?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
i gave 1/2 of my videotapes plus 1/2 a tape to joanne. i gave 1/2 of my remaning videotapes and 1/2 a tape to martiza. lastly, i gave 1/2 of my remaning videotapes and 1/2 a tape to jeff.
:
Let x = number of tapes Mike originally had
:
(.5x + .5) given to Joan
:
x - (.5x + .5) left
Simplify:
x - .5x - . 5
(.5x - .5) left
:
.5(.5x-.5) + .5 given to Matilda
Simplify
.25x - .25 + .5
.25x +.25 given to Matilda
:
(.5x - .5) - (25x+.25) left
.5x -.5 - .25x - .25
.25x -.75 left
:
.5(.25x -.75) + .5 given to Jef
.125x - .375 + .5
.125x + .125 given to Jef
:
(.25x - .75) - (.125x + .125) = 1 left
.25x - .75 - 125x - .125 = 1
.125x - .875 = 1
.125x = 1 + .875
x = 1.875/.125
x = 15 tapes Mike had originally
:
:
Check it:
15 originally
8 given to Joan (7.5+.5)
---
7 left
4 given to Matilda (3.5+.5)
---
3 left
2 give to Jef (1.5+.5)
---
1 left
:
"why could joanne, martiza, and jeff watch all of the videotapes that mike gave them?"
I guess because, of the tapes they received, none were actually half a tape
RELATED QUESTIONS
Jose and Eduardo are going to run a race. Jose is willing to give Eduardo a 3 mile head... (answered by josgarithmetic,ikleyn)
saide and jose are in chicago o hare airport walking between terminals. sadie walks on... (answered by ankor@dixie-net.com)
The members of a College staff club were asked to indicate the brand of beer they drink.... (answered by richwmiller)
The members of a College staff club were asked to indicate the brand of beer they drink.... (answered by math_tutor2020,MathTherapy)
Christine, Jose, and Bill served a total of 85 orders Monday at the school cafeteria.... (answered by mananth)
The ratio of Aldo's cycling speed to Jose cycling speed is 6:5. Jose leaves school at 3pm (answered by richwmiller,ankor@dixie-net.com)
The Northwood School Math Club is having a tamale sale. The school has 1600 students,... (answered by Boreal,Theo)
If Irma is 100 miles ahead of Jose and they are walking the same path; and Irma is going... (answered by ankor@dixie-net.com,richwmiller)
Jonathan and Jose could build a shed, working together, in 6 2/3 hours; but Jonathan... (answered by lwsshak3)