Juan told Sylvia he got a $0.50 raise this week and his new hourly rate will be $10.25 an hour. Sylvia wants to know what Juan’s hourly rate was before his raise. Which equation and solution can be used to solve this problem?

Question

r minus 10.25 = 0.50: Add 10.25 to both sides. The answer is $10.75.
r + 0.50 = 10.25: Subtract .50 from both sides. The answer is $9.75.
r minus 0.50 = 10.25: Subtract .50 from both sides. The answer is $10.75
r + 10.25 = 0.50: Subtract .50 from both sides. The answer is $9.75.

Answer 1

To find Juan’s hourly rate before his raise, we can let \( r \) represent his old hourly rate. Based on the information given, we know that he received a $0.50 raise and that his new hourly rate is $10.25. The equation can be set up as follows:

\[ r + 0.50 = 10.25 \]

Now, to solve for \( r \), we subtract $0.50 from both sides:

\[ r = 10.25 - 0.50 \]

Calculating this gives:

\[ r = 9.75 \]

Thus, Juan's hourly rate before his raise was $9.75.

The correct equation and solution from the given options is:

\( r + 0.50 = 10.25: \) Subtract .50 from both sides. The answer is $9.75.