Posted by **Jennifer** on Sunday, July 31, 2011 at 9:56pm.

A theater purchases $500 worth of Sticky Bears and chocolate bombs. Each bag of Sticky Bears costs $1.50 and each bag of Chocolate Bombs costs $1.00. If a total of 400 bags of candy were purchased, how many bags of Chocolate Bombs did the theater buy?

- math. -
**MathMate**, Monday, August 1, 2011 at 5:34am
Let

S=number of bags of sticky bears, then

400-S=number of bags of chocolate bombs.

From total cost = $500, we get

1.5S+1.0(400-S)=500

Solve for S

0.5S = 500-400

S=200

Quick way:

each bag of sticky bears costs 1.50

each bag of chocolate costs 1.00

Average cost = $500/400=1.25

which is smack in between 1.00 and 1.50.

So equal number of bags of each, namely 200.

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