Tocarre and Anesia have glitter markers in a ratio of 2:3. They have a total of 30 glitter markers. How many glitter markers does Anesia have? (1 point)
6
6
12
12
18
18
24
The ratio of Tocarre to Anesia's glitter markers is 2:3, which means for every 2 glitter markers Tocarre has, Anesia has 3 glitter markers.
Let's assume Tocarre has 2x glitter markers.
And Anesia has 3x glitter markers.
The total number of glitter markers Tocarre and Anesia have is 30.
So we have the equation 2x + 3x = 30.
Combining like terms, we get 5x = 30.
Dividing both sides by 5, we get x = 6.
This means Anesia has 3 * 6 = 18 glitter markers.
Therefore, Anesia has 18 glitter markers.
To solve this problem, we can set up a proportion. Let's assign the number of glitter markers Tocarre has to the variable 'x' and the number of glitter markers Anesia has to the variable 'y'.
We are given that the ratio of Tocarre's markers to Anesia's markers is 2:3. This can be expressed as:
x / y = 2 / 3
We are also given that the total number of glitter markers they have is 30. So we have another equation:
x + y = 30
We can solve this system of equations to find the values of 'x' and 'y'.
From the first equation, we can rewrite it as:
x = (2 / 3) * y
Substituting this back into the second equation, we get:
(2 / 3) * y + y = 30
Combining like terms, we have:
(2 / 3 + 1) * y = 30
(5 / 3) * y = 30
To isolate 'y', divide both sides by (5 / 3):
y = (30 * 3) / 5
y = 18
Therefore, Anesia has 18 glitter markers.
So, the correct answer is:
Anesia has 18 glitter markers.
To find how many glitter markers Anesia has, we first need to determine the ratio of Anesia's markers to the total number of markers.
The ratio of Tocarre's markers to the total number of markers is 2:5. (Since the total ratio is 2+3 = 5)
Now, let's calculate the number of glitter markers Anesia has:
Anesia's ratio = Anesia's markers / Total markers
Anesia's ratio = 3 / 5
Next, we can calculate the total number of glitter markers:
Total markers = 30
Now, let's substitute the values into the ratio equation:
3 / 5 = Anesia's markers / 30
Cross-multiply to solve for Anesia's markers:
3 * 30 = 5 * Anesia's markers
90 = 5 * Anesia's markers
Divide both sides by 5:
90 / 5 = Anesia's markers
Anesia's markers = 18.
Therefore, Anesia has 18 glitter markers.