Answer:
First option is correct.
Step-by-step explanation:
Let amounts of money James may have after he sees Rita be x.
It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.
So meeting Rita second time either he will $12 or he will receive $12.
The amounts of money James may have after second meeting with Rita is:
Case 1: If he pays $12.
[tex]x=42.80-12[/tex] .... (1)
Case 1: If he receives $12.
[tex]x=42.80+12[/tex] .... (2)
On combining equation (1) and (2), we get
[tex]x=42.80\pm 12[/tex]
Subtract 42.80 from both sides.
[tex]x-42.80=\pm 12[/tex]
It can be written as
[tex]|x-42.80|=12[/tex]
Therefore first option is correct.
Answer:
A. |x – 42.80| = 12
Step-by-step explanation:
Given,
The initial amount in Jame's wallet = $ 42.80,
Let x represents the final amount in Jame's wallet after seeing Rita,
According to the question,
Either he will borrow $ 12 from Rita or Rita will borrow $ 12 from him,
When he borrows $ 12 from Rita,
Final amount in the wallet = initial amount + borrowed amount
⇒ x = 42.80 + 12
⇒ x - 42.80 = 12 ------(1)
While, when Rita borrows $ 12 from him,
Final amount in the wallet = initial amount - borrowed amount
⇒ x = 42.80 - 12
⇒ x - 42.80 = -12
⇒ -(x - 42.80) = 12 -------(2),
By combining equation (1) and (2),
We get,
| x-42.80 | = 12
Which is the required equation.
⇒ Option A is correct.
