Tom's t-shirts were either red, yellow or green. 20% of the t-shirts were red, 50% were green and the the remaining 27 were yellow.
A)hoow many -tshirts does he have altogether
how many t-shirts were red
how many more green t-shirts has he than yellow t-shirts
20% + 50% is 70% accounted for, so
30% are yellow and those are 27
.3x = 27
x = 27/.3 = 90
90 t-shirts in all, 18 are red, 45 are green, 27 red
finish the question ...
To find the answers to these questions, we need to follow the given information step by step.
Given:
- 20% of the t-shirts were red.
- 50% of the t-shirts were green.
- The remaining t-shirts, 27 in total, were yellow.
A) How many t-shirts does he have altogether?
To calculate the total number of t-shirts, we need to add up the number of t-shirts in each color category.
First, let's find the total percentage of t-shirts accounted for by red and green:
Red t-shirts: 20%
Green t-shirts: 50%
To find the remaining percentage for yellow t-shirts, we subtract the sum of red and green percentages from 100%:
Remaining percentage for yellow t-shirts: 100% - (20% + 50%) = 30%
Now, we can calculate the total number of t-shirts using the following proportion:
Red t-shirts : 20% = total t-shirts : 100%
So, if 20% represents the total number of red t-shirts, we can set up the equation:
20/100 = red t-shirts / total t-shirts
Rearranging the equation to solve for the total number of t-shirts:
total t-shirts = (red t-shirts * 100) / 20
Substituting the values from the given information:
total t-shirts = (20 * 100) / 20
total t-shirts = 100
Therefore, Tom has a total of 100 t-shirts.
B) How many t-shirts were red?
Using the proportion we set up earlier:
20/100 = red t-shirts / total t-shirts
Substituting the values from the given information:
20/100 = red t-shirts / 100
Multiplying both sides of the equation by 100 to isolate the variable:
20 = red t-shirts
Therefore, Tom has 20 red t-shirts.
C) How many more green t-shirts does he have than yellow t-shirts?
To find the difference between the number of green and yellow t-shirts, we need to calculate the quantity of each color.
From the given information, we know that there are 27 yellow t-shirts.
Using the proportion we set up earlier:
50/100 = green t-shirts / total t-shirts
Substituting the values from the given information:
50/100 = green t-shirts / 100
Multiplying both sides of the equation by 100 to isolate the variable:
50 = green t-shirts
Therefore, Tom has 50 green t-shirts.
To find the difference, we subtract the number of yellow t-shirts from the number of green t-shirts:
50 - 27 = 23
Therefore, Tom has 23 more green t-shirts than yellow t-shirts.