Two friends, Bob and Ralph, ate at the restaurant together. Bob paid for himself and Ralph paid for himself. Bob spent $3 more than Ralph. The total bill was $52.24. How much did Bob pay?

Let the amount Ralph paid be represented by $ x $. Since Bob spent $3 more than Ralph, the amount Bob paid would be $ x + 3 $.

The total bill is $52.24, so we can write the equation:

\[
x + (x + 3) = 52.24
\]

Simplifying the equation:

\[
2x + 3 = 52.24
\]

Subtract 3 from both sides:

\[
2x = 49.24
\]

Now, divide by 2:

\[
x = 24.62
\]

So, Ralph paid $ 24.62 $. Since Bob paid $3 more than Ralph, Bob paid:

\[
x + 3 = 24.62 + 3 = 27.62
\]

Therefore, Bob paid **$27.62**.

Would you like more details or have any questions?

Here are some related questions for further practice:
1. If the tax was included in the bill, what percentage of the total did Bob pay?
2. What fraction of the total bill did Ralph pay?
3. If Bob and Ralph split the bill equally, how much would each pay?
4. How much would Bob have paid if he had spent $5 more than Ralph?
5. If Ralph had a 10% discount, how much would his payment have been?

**Tip:** When solving for unknowns in word problems, always define variables clearly and write equations based on the relationships given.

Learn how to solve a real-life linear equation problem where two friends, Bob and Ralph, paid separately, with Bob spending $3 more than Ralph and the total bill being $52.24. Step-by-step solution using algebraic concepts suitable for Grades 6-8.

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