The tallest snowman ever recorded—really a snow woman named Olympia—was built by residents of Bethel, Maine, and surrounding towns. Her body and head together made up her total record height of 122 ft. The body was 2 ft longer than 14 times the height of the head. What were the separate heights of Olympia’s head and body?

B=14H+2 B+H=122 so 14H+2+H=122 or 15H=120 or H=8 ft. The head was 8 ft and the body 114 ft (do the difference 122-8).

Answered by Anonymous | 2024-06-10

Let's solve the problem step by step. We are given that Olympia's total height is 122 feet, and the body is 2 feet longer than 14 times the height of the head. We can set up the following equation:
Let the height of the head be h feet. Therefore, according to the question, the height of the body would be 14h + 2 feet. Since the sum of the head and body is the total height, the following equation can be established:
h + (14h + 2) = 122
Combining like terms gives us:
15h + 2 = 122
Subtracting 2 from both sides:
15h = 120
Dividing both sides by 15, we find the height of the head:
h = 8 feet
Now we can find the body's height:
14h + 2 = 14(8) + 2 = 112 + 2 = 114 feet
Therefore, the separate heights of Olympia's head and body are 8 feet and 114 feet, respectively.

Answered by BishopBriggs | 2024-06-24

Olympia's head is 8 feet tall, while her body is 114 feet tall. This is determined using two equations based on the total height and the relationship between the body and head heights. The calculations involved solving for the height of the head and then using that value to find the body height.
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Answered by Anonymous | 2024-12-19