PLEASE HELP ME!!!!!! A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms? In this activity, you’ll work through this pom-pom problem step by step.


Part A

Write a proportion for the number of strands in each color to find how many strands are needed to make one pom-pom.

White strands: w/80 =?/? Blue strands: b/80=?/? Red strands: r/80=?/?

Respuesta :

Answer:  A)  For a pair of pom pom,

Total white strands = 56

Total blue strands = 40

Total red strands = 64

B) Required proportions,

White strands: w/80 =35/ 100

Blue strands: b/80=25/100

Red strands: r/80=40/100

Step-by-step explanation:

Since, According to the question,

Total number of strands for each pom-pom = 80

Also, A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r).

Thus, In each pom-pom,

White strands = 35% of 80 = [tex]\frac{35\times 80}{100} = 28[/tex]

Blue strands = 25% of 80 =  [tex]\frac{25\times 80}{100} = 20[/tex]

Red strands = 40% of 80 = [tex]\frac{64\times 80}{100} = 32[/tex]

A) Thus In pair of pom-pom,

White strands = 2×White strands in each strands = 2 × 28 = 56

Blue strands = 2× Blue strands = 2 × 20 = 40

Red strands = 2 × 32 = 64

B) Since, Here w represents white strands, b represents blue strands and r represents red strands,

Thus, w = 35% of 80

⇒ [tex]w = \frac{35\times 80}{100}[/tex]

⇒ [tex]\frac{w}{80} = \frac{35}{100}[/tex] (On dividing both sides by 80)

Similarly, [tex]\frac{b}{80} = \frac{25}{100}[/tex]

And, [tex]\frac{r}{80} = \frac{40}{100}[/tex]

Which are the required proportions.

Answer:

w/80 = 35/100

b/80 = 25/100

r/80 = 40/100

Step-by-step explanation:

35% is the percentage of the amount of white strands.

25% is the percentage of the amount of blue strands.

40% is the percentage of the amount of red strands.

When you put a percentage in a fraction, you always put 100 as the denominator, and the percentage as the numerator.