Question

5 jennifers brother matthew has one more brother than he has sisters. how many more brothers than sisters does jennifer have? 6 rolex has five pieces of chain, each containing four links. he wants to join the pieces to form a circle. if it costs 10c to open a link, and 10c to close a link, find a way he can do this for only 80c.

Explanation:

Step1: Define variables for Matthew's siblings

Let the number of Matthew's sisters be $s$ and the number of his brothers be $b$. We know that $b=s + 1$.

Step2: Analyze Jennifer's siblings

Jennifer's number of sisters is $s-1$ (excluding herself) and the number of brothers is $b$. Substitute $b=s + 1$ into Jennifer's siblings - situation. So the number of Jennifer's brothers minus the number of her sisters is $b-(s - 1)=(s + 1)-(s - 1)$.

Step3: Simplify the expression

$(s + 1)-(s - 1)=s+1 - s+1=2$.

Step1: Calculate cost per link - operation

The cost to open and close a link is $10+10 = 20$ cents.

Step2: Determine number of link - operations

Since the total budget is 80 cents, the number of link - operations is $\frac{80}{20}=4$.

Step3: Find a way to use 4 link - operations

Open all 4 links of one piece of chain. Then use these 4 open links to connect the other 4 pieces of chain one by one and close the links.

Answer:

2