Gustav needed to bake at least 252 cookies for a luncheon. He baked 8 batches of peanut butter cookies with 12 cookies in each batch. He also baked n batches of chocolate chip cookies with 15 cookies in each batch. Which inequality can be used to determine the number of batches of chocolate chip cookies Gustav needed to bake? 252 − 8 ( 12 ) ≤ 15 n
Answers
Given : needed to bake at least 252 cookies
baked 8 batches of peanut butter cookies with 12 cookies in each batch
baked n batches of chocolate chip cookies with 15 cookies in each batch.
To Find : inequality can be used to determine the number of batches of chocolate chip cookies needed to bake
Solution:
needed to bake at least 252 cookies
=> Cookies required ≥ 252
baked 8 batches of peanut butter cookies with 12 cookies in each batch
=> peanut butter cookies baked = 8 x 12 = 96
baked n batches of chocolate chip cookies with 15 cookies in each batch.
=> chocolate chip cookies baked = n x 15 = 15n
Total cookies baked = 15n + 96
15n + 96 ≥ 252
=> 15n ≥ 252 - 96
=> 15n ≥ 252 - 8(12)
=> 252 - 8(12) ≤ 15 n
required inequality
15n ≥ 252 - 96
=> 15n ≥ 156
=> n ≥ 10.4
atleast 11 batches
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