Question

Sofia ordered sushi for a company meeting. They changed plans and increased the number of people attending the meeting. Now they need at least 100 pieces of sushi in total. Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8. Let r represent the number of additional rolls that Sofia orders. 1) Which inequality describes this scenario? Choose 1 answer: (a) 12 + 24r ≤ 100 (b) 12 + 24r ≥ 100 (c) 24 + 12r ≤ 100 (d) 24 + 12r ≥ 100 2) What is the least amount of additional money Sofia can spend to get the sushi they need?

1) 12 + 24r ≤ 100
2) 12 + 24r ≥ 100
3) 24 + 12r ≤ 100
4) 24 + 12r ≥ 100

Answer 1

To describe the scenario mathematically, the inequality is 24 + 12r ≥ 100. The least amount of additional money Sofia can spend to get the sushi they need is $72.

Step-by-step explanation:

To determine the inequality that describes this scenario, we need to consider the number of sushi rolls Sofia needs to order.

Each roll contains 12 pieces of sushi, and Sofia needs at least 100 pieces of sushi in total. Let r represent the number of additional rolls she orders.

The total number of sushi pieces can be expressed as 24 + 12r, which should be greater than or equal to 100 since she needs at least 100 pieces.

Therefore, the correct inequality is (d) 24 + 12r ≥ 100.

To find the least amount of additional money Sofia can spend, we need to multiply the number of additional rolls by the cost per roll.

Each roll costs $8, so the total cost of the additional rolls can be expressed as 8r.

Since we want to minimize the amount of money spent, we need to find the minimum value of r.

In this case, Sofia needs at least 100 pieces of sushi and each roll contains 12 pieces, so she needs to order at least 9 additional rolls (100 - 24 = 76, and 76 divided by 12 is 6 remainder 4, so we need at least 6 rolls to reach 72 pieces, and 4 additional pieces require another roll).

Therefore, the least amount of additional money Sofia can spend to get the sushi they need is 8 * 9 = $72.