# Gizmo Currency

Pro Problems > Math > Algebra > Equations > Systems of Equations > Word Problems > Money## Gizmo Currency

In the land of Gizmo, there are three different coins in the currency. They are the gizma, the gizmi, and the gizmu. A resident of Gizmo wanted to buy his neighbor's cow (named Gizme). The conversation went as follows:

Seller: You can buy my cow for a gizmu and 65 gizmas.

Buyer: I don't have that many gizmas.

Seller: How about a gizmu, a gizmi, and 20 gizmas?

Buyer: Sorry, I don't have that many gizmas.

Seller: No problem - you can buy Gizme for 3 gizmis and 10 gizmas.

Buyer: I don't have three gizmis. How about I give you a two gizmus, and you give me 15 gizmas in change.

Seller: Believe it or not, I don't have 15 gizmas.

Finally they agree that the buyer will give a gizmu and two gizmis. How many gizmas will he get in change?

## Solution

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