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A loonie is a $1 coin and a dime is a $0.10 coin. One loonie has the same mass as 4 dimes. A bag of dimes has the same mass as a bag of loonies. The coins in the bag of loonies are worth $400 in total. How much are the coins in the bag of dimes worth?

 Jun 18, 2020
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The bag of loonies are worth $400 in total ⇔ There are 400 loonies in the bag.

 

But one loonie = 4 dimes in terms of mass, so if the bag of dimes has the same mass as a bag of loonies, then there should be (4)(400) dimes, which is 1600 dimes.

 

The bag of dimes is worth $1600 (0.10) = $160.

 Jun 18, 2020

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