Question

Sue loves to sew! She wants to make at least 6 pillows and no more than 10 blankets. Each pillowuses 2 yards of fabric and each blanket uses 12 yards of fabric. She can only use 48 yards of fabric intotal. Use P to represent the number of pillows and B to represent the number of blankets.Find the number of pillows and blanket

Answer 1

P ≥ 6

B ≤10

2P + 12B ≤ 48

Option C

Step-by-step explanation:

at least 6 pillows means ≥ 6

P ≥ 6

Number of yards per pillow = 2

no more than 10 blankets means ≤10

B ≤10

Number of yards per blanket = 12

P = represent the number of pillows

B = represent the number of blankets

Total number of yards to be used = 48

(number of yards for pillow × P) + (Number of yards per blanket × B) notmmore than 48

Since Sue can only use 48 yards, it means she cannot use above 48 yards but can use 48 or less than 48 yards

2P + 12B ≤ 48

The correct option: C

P ≥ 6

B ≤10

2P + 12B ≤ 48