Question

Liza is baking cookies and muffins for a bake sale. She wants to bake at least 50 cookies and 25 muffins. She wants to bake a total of no more than 100 cookies and muffins. She wants to bake more than twice as many cookies as muffins. If c = the number of cookies and m = the number of muffins, which system of inequalities represents these constraints? A ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪c≥50m≥25c+m≤100c>2m B ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪c≥50m≥25c+m≥100c>2m C ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪c≥50m≥25c+m≤1002c>m D ⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪c≥50m≥25c+m≥1002c>m

Answer 1

Answer: A.) c≥50m≥25c+m≤100c>2m

Explanation:

Given that :

Number of cookies ≥ 50

Number of muffins ≥ 25

Total baking ≤ 100

Number cookies = c ; number of muffins = m

Number of cookies bakes should be more than twice the number of muffins

Constraints :

Number of Cookies > 2 * number of muffins

c > 2m

Cookies atleast 50 :

c ≥ 50

Muffins at least 25:

m ≥ 25

Total cookies and muffins no more than 100 :

c + m ≤ 100