Final answer:
To find the fraction of stars in the pack that are gold, divide the number of gold stars by the total number of stars. Then, to find the percent of gold stars, multiply the fraction by 100.
Step-by-step explanation:
To find the fraction of stars in the pack that are gold, we need to compare the number of gold stars to the total number of stars in the pack.
Given that out of every 10 stars, 4 are gold, we can set up a ratio:
Number of gold stars : Total number of stars = 4 : 10
To find the fraction, we can simplify the ratio by dividing both sides by 2:
Number of gold stars : Total number of stars = 2 : 5
So, 2 out of 5 stars in the pack are gold.
To find the percent of stars that are gold, we can use the fraction we found and multiply it by 100:
Fraction of gold stars = 2/5
Percent of gold stars = (2/5) * 100 = 40%