SOLUTION: Hi, Im studying really hard for my E.O.C for the end of the year in Algbra we have it on friday, the thing is i am realy not good with word problems. Do you think you could help m

Algebra ->  Equations -> SOLUTION: Hi, Im studying really hard for my E.O.C for the end of the year in Algbra we have it on friday, the thing is i am realy not good with word problems. Do you think you could help m      Log On


   



Question 618195: Hi,
Im studying really hard for my E.O.C for the end of the year in Algbra we have it on friday, the thing is i am realy not good with word problems. Do you think you could help me get started on this i dont know which algebra expression to use???. if you could get back to me as soon as possable that would be great! :)
Please help.
Problem: Only Chocolate and vanilla ice cream cones are sold at an ice cream store. In one day, the number of chocolate cones sold was 1 more than 4 times the number of vanilla cones sold. A toatle of 121 cones were sold that day.
Let c= the number of chocolate cones sold
Let v= the number of vanilla cones sold
- Write equations to determine the number of chocolate cones that day.
- Use the equations to determine the number of chocolate cones sold that day.
Show your work using words,numbers, and/or diagrams.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
c= number of chocolate cones sold
v= number of vanilla cones sold
"The number of chocolate cones sold was 1 more than 4 times the number of vanilla cones sold" means that c was 1 more than 4v, or
c=4v%2B1
If only chocolate and vanilla cones are sold, and the total sold was 121, it means that
c%2Bv=121
The two equations form the system of equations
system%28c=4v%2B1%2Cc%2Bv=121%29
That system asks to be solved by substitution,
According to the first equation, the expression 4v%2B1 is equal to c,
so you substitute that expression for c in the second equation and get
4v%2B1%2Bv=121%29 --> 5v%2B1=121 --> 5v%2B1-1=121-1 --> 5v%2F5=120%2F5 --> highlight%28v=24%29
Then you substitute that value into c=4v%2B1 to get
c=4%2A24%2B1 --> c=96%2B1 --> highlight%28c=97%29