Answer :
Answer:
- The first bike costs \( \boxed{172} \) dollars.
- The second bike costs \( \boxed{860} \) dollars.
Step-by-step explanation:
Let's solve this problem step by step.
Let the cost of the first bike be \( x \).
Let the cost of the second bike be \( 5x \).
From the problem statement, we know that the cost of the second bike (5x) is $688 more than the cost of the first bike (x). Therefore, we can write the equation:
\[ 5x = x + 688 \]
Now, solve for \( x \):
\[ 5x - x = 688 \]
\[ 4x = 688 \]
\[ x = \frac{688}{4} \]
\[ x = 172 \]
So, the cost of the first bike \( x \) is $172.
Now, calculate the cost of the second bike (5x):
\[ 5x = 5 \cdot 172 \]
\[ 5x = 860 \]
Therefore, the cost of the second bike \( 5x \) is $860.
To verify:
- The cost of the second bike (5x) is indeed $688 more than the cost of the first bike (x):
\[ 860 - 172 = 688 \]
Hence, everything checks out correctly. The cost of the bikes are:
- The first bike costs \( \boxed{172} \) dollars.
- The second bike costs \( \boxed{860} \) dollars.
