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#11403

equations

word problem

hard

90 sec

A mixture contains ingredient A costing $5 per gram, ingredient B costing $12 per gram, and ingredient C costing $8 per gram. A batch of the mixture costs a total of $300. If the batch contains $a$ grams of A, $b$ grams of B, and $c$ grams of C, which of the following expresses $a$ in terms of $b$ and $c$ ?

A.

$a = 60 - \frac{12}{5} b - \frac{8}{5} c$

B.

$a = 60 + \frac{12}{5} b + \frac{8}{5} c$

C.

$a = 300 - 12 b - 8 c$

D.

$a = 60 - 12 b - 8 c$