Question

Starting with some gold coins and some empty treasure chests, I tried to put 9 gold coins in each treasure chest, but that left 2 treasure chests empty. So instead I put 6 gold coins in each treasure chest, but then I had 3 gold coins left over. How many gold coins did I have?

$9$

$27$

$45$

$63$

$81$

Answer: C

Concepts:system of equations

Difficulty rating: 1240

Video solution:

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Written solution:

Let $n$ be the number of treasure chests and $g$ be the number of gold coins. Then $9(n - 2) = g$ and $6n + 3 = g.$ Solving this system yields $n = 7,$ so the number of gold coins is $6 \cdot 7 + 3 = 45.$

Thus, C is the correct answer.

2017 AMC 8 Problem 17

Answer: C

Difficulty rating: 1240

Video solution:

Written solution:

Problem 17 in Other Years