ExplanationDefine variables and translate equations from the given information:

Number of bottles = b

Number of cans = c

\(b + c = 48\) (Number of containers purchased)

\(12c = 20b\) (Equal number of ounces in bottles purchased and cans purchased)

The question asks for b, so isolate c in the first equation and substitute into the second equation:

\(c = 48 - b\)

\(12(48 - b) = 20b\)

\(576 - 12b = 20b\)

\(576 = 32b\)

\(b = 18\)

Check the answer. If Cindy bought 18 bottles, she bought 30 cans. The number of ounces in the bottles was 18 × 20 = 360. The number of ounces in the cans was 30 × 12 = 360.

Hence option A is correct!
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Sandy

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