SOLUTION: How many kids out of 27 chose a 2 dip cone and how many chose a 3 dip cone if there were 70 dips total and 27 cones counted? What are the equations? thanks.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: How many kids out of 27 chose a 2 dip cone and how many chose a 3 dip cone if there were 70 dips total and 27 cones counted? What are the equations? thanks.      Log On


   

Question 763111: How many kids out of 27 chose a 2 dip cone and how many chose a 3 dip cone if there were 70 dips total and 27 cones counted?
What are the equations? thanks.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
27 kids means 27 cones.
Let u = how many 2 dip cones
Let v = how many 3 dip cones

Accounting for cones, u%2Bv=27

Accounting for dips, 2%2Au%2B3%2Av=70
In case confusion how this one works, 2 dips per cone multiplied by how many 2-dip cones PLUS 3 dips per cone multiplied by how many 3-dip cones IS 70 dips.

Solve this system for u and v:
-------------------------------
{u+v=27}
{2u+3v=70}
-------------------------------

Solve however you want. A way is, multiply the first equation by 2 and subtract from the second equation, and solve first for v.
then,...