Final answer:
To determine the weight of the box Kiva's father carries, we calculate 21 pounds as 35% of the father's box weight and find it to be 60 pounds.
Step-by-step explanation:
Kiva's family is moving and he carries a 21-pound box which is 65% lighter than the box his father carries. To find the weight of the box that Kiva's father carries, we need to determine what weight would be 65% lighter by the smaller box's weight. Let's denote the father's box weight as F. We know that 21 pounds is equal to 35% of the father's box's weight because 100% - 65% = 35%. So, we have:
- Represent the relationship as an equation: 0.35F = 21.
- Divide both sides of the equation by 0.35 to find F: F = 21 ÷ 0.35.
- Calculate F to find the father's box weight: F = 60 pounds.
Therefore, the weight of the box that Kiva's father carries is 60 pounds.