Toothpick Triangles

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Spilled Juice Problem

The Spilled Juice Problem

Henry had just finished his math homework when he spilled orange juice all over it.  Can you help Henry figure out what his homework problems (and solutions!) were?

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Six Toothpick Problem

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The Two Mangoes Problem

Solution:  

(1)  If one mango and one banana cost $4.70, then two bananas and two mangoes cost twice as much:  $9.40.
(2)  From there we can use the middle bag to find the cost of a single banana:  $13.00 (2 mangoes and 5 bananas) - $9.40 (2 mangoes and 2 bananas) = $3.60 (3 bananas).   If 3 bananas cost $3.60, then each banana costs $1.20.
(3)  From the first bag then we can see that a single mango costs $3.50 ($4.70-$1.20), and so the bag of 2 mangoes costs $7.00.