Question

Manuel looks at a number line diagram that has the points -3/4 and -1/2 graphed. He writes the following related story:

Answer 1

Answer:

Manuel owes more to Calvin(75 cents) as compared to Lester(50 cents).

Step-by-step explanation:

We are given the following information in the question:

Manuel borrowed 50 cents from Lester and 75 cents from Calvin. Manuel claims that he owes lee to Calvin.

Manuel's claim is wrong.

This could be understood by comparing:

$\displaystyle\frac{-3}{4}~and~\displaystyle\frac{-1}{2}$

The negative sign here states that this amount is owed to someone, we do not own this money.

$\displaystyle\frac{-3}{4}~and~\displaystyle\frac{-1}{2}\\\\\displaystyle\frac{-3}{4}~and~\displaystyle\frac{-2}{4}\\\\\displaystyle\frac{-3}{4} < \displaystyle\frac{-2}{4}$

$\displaystyle\frac{3}{4}\times \text{1 dollar} = 75\text{ cents}\\\displaystyle\frac{1}{2}\times \text{1 dollar} = 50\text{ cents}$

Thus, Manuel owes more to Calvin(75 cents) as compared to Lester(50 cents).