Question

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

"I borrowed 50 cents from my friend, Lester. I borrowed 75 cents from my friend, Calvin. I owe Lester less than I owe Calvin."

Determine if you agree or disagree with the representation. Then, defend your stance by citing specific details in your writing.

Answer 1

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

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(-3)/(4)~and~\displaystyle(-1)/(2)`

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

`\displaystyle(-3)/(4)~and~\displaystyle(-1)/(2)\\\\\displaystyle(-3)/(4)~and~\displaystyle(-2)/(4)\\\\\displaystyle(-3)/(4) < \displaystyle(-2)/(4)`

`\displaystyle(3)/(4)* \text{1 dollar} = 75\text{ cents}\\\displaystyle(1)/(2)* \text{1 dollar} = 50\text{ cents}`

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