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Molly is baking oatmeal raisin cookies and chocolate chip cookies. She has no more than 10 cups of flour. A batch of oatmeal raisin cookies, r, takes 1 and 1/2 cups of flour and a batch of chocolate chip cookies, c, takes 2 cups of flour. Which of these best represent the amount of flour available for Molly to use in her cookies?

Group of answer choices

a. 7/2 (r+c) > 10
b. 3/2 r < 10+2c
c. 2c=10-3/2r
d. 3/2r+2c<10

a and d both have lines under the greater than or less than signs.

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Respuesta :

sqdancefan

Answer:

  d.  3/2r+2c ≤ 10

Step-by-step explanation:

The amount of flour Molly needs for r batches of oatmeal raisin cookies is ...

  3/2r

The amount of flour Molly needs for c batches of chocolate chip cookies is ...

  2c

The total amount of flour Molly can use for cookies cannot exceed the amount available, so ...

  3/2r + 2c ≤ 10

_____

Comment on the question

The wording is a bit odd. It asks for the amount of flour available—after it tells you the amount available is 10 cups. (I might write that as f ≤ 10.) The answer choices clearly suggest that what is wanted is a representation of the possible mix of batches of cookies for which Molly could use the available flour. IMO, this is another instance of poor editing of math problem wording.

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