SAT Math · Ratios, rates, proportional relationships, and units · medium

Store A sells a 12-ounce bottle of juice for 3.60. Store B sells a 20-ounce bottle of the same juice for 5.60. Which store offers the…

Store A sells a 12-ounce bottle of juice for $3.60. Store B sells a 20-ounce bottle of the same juice for $5.60. Which store offers the lower price per ounce?

Answer and explanation

Answer: B: Store B

Compare unit prices. Store A: 3.6012=$0.30\frac{3.60}{12} = \$0.30 per ounce. Store B: 5.6020=$0.28\frac{5.60}{20} = \$0.28 per ounce. Store B has the lower price per ounce, choice B. Choice A is tempting because Store A's bottle has the smaller total price, but total price does not account for size. Choice C is false, since 0.30 and 0.28 are different. Choice D is wrong because all the necessary information is given. When package sizes differ, the unit rate is the right basis for comparison.

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