finding mass from a count what is the mass of 90 apples if 1 dozen of the apples has a mass of 2.0 kg…

finding mass from a count what is the mass of 90 apples if 1 dozen of the apples has a mass of 2.0 kg? analyze list the knowns and the unknown. knowns unknown number of apples = 90 mass of 90 apples =? kg 12 apples = 1 dozen apples 1 dozen apples = 2.0 kg apples calculate solve for the unknown. identify the steps to convert from number, or count, to mass. number of apples → dozens of apples → mass of apples multiply the number of apples by the two conversion factors needed to convert from number 90 apples × 1 dozen - apples / 12 apples × 2.0 kg apples / 1 dozen - apples = 15 kg apples
Answer
Explanation:
Step1: Convert apples to dozens
We know 1 dozen = 12 apples. So, to find the number of dozens in 90 apples, we divide 90 by 12. The number of dozens of apples is $\frac{90}{12}= 7.5$ dozens.
Step2: Find the mass
Since 1 dozen apples has a mass of 2.0 kg, to find the mass of 7.5 dozens of apples, we multiply the number of dozens (7.5) by the mass per dozen (2.0 kg). So, the mass is $7.5\times2.0 = 15$ kg.
Answer:
15 kg