Name: SAT Math Help & School Math Mastery
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#11405

equations

word problem

hard

90 sec

In a certain game, players earn 3 points for each red token collected, 5 points for each blue token, and 10 points for each gold token. A player scored a total of 500 points. If they collected $r$ red tokens, $b$ blue tokens, and $g$ gold tokens, which of the following expresses $b$ in terms of $r$ and $g$ ?

A.

$b = 100 - \frac{3}{5} r + 2 g$

B.

$b = 100 + \frac{3}{5} r + 2 g$

C.

$b = 100 - \frac{3}{5} r - 2 g$

D.

$b = 500 - 3 r - 10 g$