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A bakery is having a big event. They need to bake cookies and brownies. Bakery has 120 oz of dough available. Each cookie needs 2 oz of dough and each brownie needs 3 oz of dough.
Equation - 2c + 3(20) = 120
Inequality - 2(10) + 3b≤120
A bakery is having a big event. They need to bake cookies and brownies. Bakery has 120 oz of dough available. Each cookie needs 2 oz of dough and each brownie needs 3 oz of dough.
Equation - 2c + 3(20) = 120
Inequality - 2(10) + 3b≤120
Answers
GPT-5 mini
Write the dough constraint as
2c + 3b ≤ 120
where c = number of cookies and b = number of brownies (and c,b ≥ 0).
For the equation you gave with b = 20:
2c + 3(20) = 120 → 2c + 60 = 120 → 2c = 60 → c = 30.
So 20 brownies use 60 oz, leaving enough for 30 cookies.
For the inequality you gave with c = 10:
2(10) + 3b ≤ 120 → 20 + 3b ≤ 120 → 3b ≤ 100 → b ≤ 100/3 ≈ 33.33.
If b must be an integer, b ≤ 33 (maximum 33 brownies).
Other useful extremes:
- If b = 0, max cookies c = 120/2 = 60.
- If c = 0, max brownies b = 120/3 = 40.
If you want, I can list all integer (c,b) pairs that satisfy 2c + 3b ≤ 120.
2c + 3b ≤ 120
where c = number of cookies and b = number of brownies (and c,b ≥ 0).
For the equation you gave with b = 20:
2c + 3(20) = 120 → 2c + 60 = 120 → 2c = 60 → c = 30.
So 20 brownies use 60 oz, leaving enough for 30 cookies.
For the inequality you gave with c = 10:
2(10) + 3b ≤ 120 → 20 + 3b ≤ 120 → 3b ≤ 100 → b ≤ 100/3 ≈ 33.33.
If b must be an integer, b ≤ 33 (maximum 33 brownies).
Other useful extremes:
- If b = 0, max cookies c = 120/2 = 60.
- If c = 0, max brownies b = 120/3 = 40.
If you want, I can list all integer (c,b) pairs that satisfy 2c + 3b ≤ 120.