Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Jessica is making cookies and brownies for a bake sale. Her recipe for cookies calls for 1 egg per batch, and her recipe for brownies calls for 2 eggs per batch. If Jessica uses 18 eggs and makes 11 batches, how many batches of cookies and brownies did she make?

Sagot :

Answer:

Number of batches of cookies = 4

Number of batches of brownies = 7

Step-by-step explanation:

Let the number of batches of cookies she made = x

And the number of batches of brownies = y

Total number of batches she made = 11

So the equation representing batches will be,

x + y = 11 ---------(1)

Her recipe for cookies calls for eggs = 1 per batch

So eggs required for x batches of cookies = 1 × x = x

Similarly, her recipe for brownies calls for eggs = 2 per batch

So, eggs required for y batches of brownies = 2y

Total number of eggs required = 18

Therefore, equation will be,

x + 2y = 18 ---------- (2)

Equation (2) minus equation (1)

(x + 2y) - (x + y) = 18 - 11

y = 7

From equation (1),

x + 7 = 11

x = 4

Therefore, number of batches of cookies and brownies she made were 4 and 7.