Question

Assessment Practice

16. Lena is making two dishes for an event. Each batch of her mac-and-cheese
recipe calls for 6 ounces of cheese and 2 tablespoons of basil. For every
two pizzas, she needs 16 ounces of cheese and 5 tablespoons of basil.
PART A
Lena buys a 32-oz package of cheese. Does she
have enough cheese to make 2 batches of
mac-and-cheese and 3 pizzas? Explain.
PART B
Lena decides to make 1 batch of mac-and-cheese
and 3 pizzas. How many tablespoons of basil does
she need? Explain your answer.

Answer 1

Oh, let's cook up some math in the kitchen!

PART A:
Lena's mac-and-cheese recipe requires 6 ounces of cheese per batch. Since she wants to make 2 batches, she would need a total of:

6 ounces/batch * 2 batches = 12 ounces of cheese for the mac-and-cheese.

For the pizzas, she needs 16 ounces of cheese for every 2 pizzas. Since she wants to make 3 pizzas, she would need:

16 ounces/2 pizzas * 3 pizzas = 24 ounces of cheese for the pizzas.

Now, let's add up the cheese needed for the mac-and-cheese and the pizzas:

12 ounces (mac-and-cheese) + 24 ounces (pizzas) = 36 ounces of cheese.

Since Lena bought a 32-ounce package of cheese, she doesn't have enough cheese to make 2 batches of mac-and-cheese and 3 pizzas. She would need to buy some extra cheese.

PART B:
To find out how many tablespoons of basil Lena needs for 1 batch of mac-and-cheese and 3 pizzas, we'll add up the basil required for each:

For 1 batch of mac-and-cheese: 2 tablespoons of basil.
For 3 pizzas: 5 tablespoons of basil/pizza * 3 pizzas = 15 tablespoons of basil.

Now, let's add them together:

2 tablespoons (mac-and-cheese) + 15 tablespoons (pizzas) = 17 tablespoons of basil.

So, Lena would need 17 tablespoons of basil for 1 batch of mac-and-cheese and 3 pizzas.

Happy cooking, my dear! Enjoy your delicious creations! ️

Answer 2

Explanation:

Part A

1. For 2 batches of mac-and-cheese, she needs 6 ounces of cheese per batch. So, for both batches, she needs 2 * 6 = 12 ounces of cheese.

2. For 3 pizzas, she needs 16 ounces of cheese per pizza. So, for all 3 pizzas, she needs 3 * 16 = 48 ounces of cheese.

Now, add the cheese needed for mac-and-cheese and pizzas:

12 ounces (mac-and-cheese) + 48 ounces (pizzas) = 60 ounces

Lena needs a total of 60 ounces of cheese to make 2 batches of mac-and-cheese and 3 pizzas. Since she bought a 32-ounce package of cheese, she does not have enough cheese to make both dishes. She would need at least 60 ounces of cheese, but she only has 32 ounces. Therefore, Lena does not have enough cheese to make 2 batches of mac-and-cheese and 3 pizzas.

Part B

1. For 1 batch of mac-and-cheese, Lena needs 2 tablespoons of basil.

2. For 3 pizzas, she needs 5 tablespoons of basil per pizza. So, for all 3 pizzas, she needs 3 * 5 = 15 tablespoons of basil.

Now, add the basil needed for mac-and-cheese and pizzas:

2 tablespoons (mac-and-cheese) + 15 tablespoons (pizzas) = 17 tablespoons

Lena needs a total of 17 tablespoons of basil to make 1 batch of mac-and-cheese and 3 pizzas.