High School

Solve the problem.

Steve is 17% taller than Andy but proportioned in exactly the same way. If Andy is 187 pounds, how much does Steve weigh?

A. 263 lb
B. 383 lb
C. 340 lb
D. 300 lb

Answer :

To solve this problem, we need to determine Steve's weight given that he is 17% taller than Andy, and that they are proportioned similarly. This means that Steve's weight is also increased by the same percentage.

Here’s how we can figure it out:

1. Understand the Problem:
- Andy weighs 187 pounds.
- Steve is 17% taller than Andy and proportioned in the same way.

2. Calculate the Proportionate Increase in Weight:
- Since Steve is 17% taller, his weight will also increase by 17%.

3. Determine Steve’s Weight:
- First, convert the percentage into a decimal for calculation purposes. So, 17% becomes 0.17.
- To calculate Steve's weight, you increase Andy's weight by 17%. This is done by multiplying Andy’s weight (187 pounds) by 1.17 (which includes the original 100% or 1, plus an additional 17% or 0.17).

4. Perform the Calculation:
- [tex]\( \text{Steve's weight} = 187 \times 1.17 \)[/tex]
- Multiply to find Steve’s weight.

5. Result:
- The calculation results in a weight of approximately 218.79 pounds for Steve.

Therefore, Steve weighs approximately 218.79 pounds.