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.

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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)   (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,

Accounting for dips,
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,...

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