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Amanda buys lunch for a group of people. She buys each person a $3 sandwich, $3 French fries, and two drinks (d) which had no price

listed. Then, she buys a cake and salad for everyone to share that cost $12 and $7, respectively. If lunch was for 6 people, simplify the
expression below representing the total cost.
6 (3+3+2d) + 12+7

1 Answer

3 votes

Answer: 55 + 12d.

Explanation:

To simplify the expression, let's break it down step by step.

1. The cost for each person's lunch is $3 for the sandwich, $3 for the French fries, and two drinks (2d).

- So, the cost for each person's lunch is 3 + 3 + 2d.

2. There are 6 people in the group.

- Multiply the cost of each person's lunch by 6: 6(3 + 3 + 2d).

3. Amanda also buys a cake for $12 and a salad for $7, which everyone will share.

- Add the cost of the cake and salad: 12 + 7.

Putting it all together, the simplified expression for the total cost is:

6(3 + 3 + 2d) + 12 + 7

Now you can simplify further by multiplying 6 with each term inside the parentheses:

6 * 3 + 6 * 3 + 6 * 2d + 12 + 7

This simplifies to:

18 + 18 + 12d + 12 + 7

Combining like terms:

18 + 18 + 12 + 12d + 7

Now, add the numbers:

18 + 18 + 12 + 7 = 55

So, the simplified expression representing the total cost is 55 + 12d.

Please let me know if there is anything else I can help you with.

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