Question

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.

Answer 1

Answer :-

Given,

• Total number of strands = 80
• Percent of blue strands = 25%
• Percentage of white strands = 35%
• Percentage of red strands = 40"%

Let the number of blue strands required be x,

Therefore,

$\frac{x}{80} \times 100 = 25\% \\ = > \frac{25 \times 80}{100 } \: \: \: \: \: \: \: \: \\ = > 20 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

For the white strands,

Let the number of white strands be z,

Therefore,

$\frac{z}{80} \times 100 = 35\%\\ = > \frac{35 \times 80}{100} \: \: \: \: \: \: \: \: \\ = > 28 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

For the red strands,

Let the number of red strands be y,

Therefore,

$\frac{y}{80} \times 100 = 40\% \\ = > \frac{40 \times 80}{100} \: \: \: \: \: \: \: \: \\ = > 32 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore,

No. of blue strands = 20

No. of red strands = 32

No. of white strands = 28

For the verification you can add up all the numbers, their sum would be 80.

Hope the answer helps you.

$\sf \mathbb \color{pink}\underline{\colorbox{black}{✨ersa here ✨}}$