Question

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=?/?

Answer 1

w/80 = 35/100

b/80 = 25/100

r/80 = 40/100

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.

Answer 2

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

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 =
`(35* 80)/(100) = 28`

Blue strands = 25% of 80 =
`(25* 80)/(100) = 20`

Red strands = 40% of 80 =
`(64* 80)/(100) = 32`

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

⇒
`w = (35* 80)/(100)`

⇒
`(w)/(80) = (35)/(100)` (On dividing both sides by 80)

Similarly,
`(b)/(80) = (25)/(100)`

And,
`(r)/(80) = (40)/(100)`

Which are the required proportions.