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Ratios, rates, proportional relationships, and units SAT question

Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.

To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins? (1 pound = 16 ounces)

ExplanationShow

Choice A is correct. If 2.5 ounces of chocolate are needed for each muffin, then the number of ounces of chocolate needed to make 48 muffins is 48 times 2 point 5, equals 120 ounces. Since 1 pound = 16 ounces, the number of pounds that is equivalent to 120 ounces is120 over 16 equals 7 point 5 pounds. Therefore, 7.5 pounds of chocolate are needed to make the 48 muffins.

Choice B is incorrect. If 10 pounds of chocolate were needed to make 48 muffins, then the total number of ounces of chocolate needed would be 10 times 16, equals 160 ounces. The number of ounces of chocolate per muffin would then be160 over 48, equals 3 point 3 3 ounces per muffin, not 2.5 ounces per muffin. Choices C and D are also incorrect. Following the same procedures as used to test choice B gives 16.8 ounces per muffin for choice C and 40 ounces per muffin for choice D, not 2.5 ounces per muffin. Therefore, 50.5 and 120 pounds cannot be the number of pounds needed to make 48 signature chocolate muffins.

 

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