Question

Sam and Bob bought apples at the store. Sam bought five less than four times the number of apples Bob bought. If they purchased 30 apples together, how many apples did Bob buy?

A. 5 apples
B. 10 apples
C. 15 apples
D. 20 apples

Answer 1

After setting up an algebraic equation, we found that Bob bought 7 apples, which is not listed in the given multiple-choice options. There appears to be a mistake in the provided options since algebraically the correct answer is 7.

Step-by-step explanation:

To solve the problem of how many apples Bob bought at the store, we set up an algebraic equation. Let's denote the number of apples Bob bought as B. Therefore, Sam bought 4B - 5 apples because Sam bought five less than four times the number of apples Bob bought. The total number of apples purchased by Sam and Bob is 30.

Setting up the equation:

1. B + (4B - 5) = 30
2. 5B - 5 = 30
3. 5B = 30 + 5
4. 5B = 35
5. B = 35 / 5
6. B = 7

Therefore, Bob bought 7 apples, which is not one of the options provided (A: 5 apples, B: 10 apples, C: 15 apples, D: 20 apples). There must be a mistake in the options given, as the correct answer calculated algebraically is 7 apples.