There are4 boys and 6 girls in th drama club.The roboticsclub has an equivalent fraction of boys as members.If there are 30 members in robotics club , what fractiin are boys? Explain using multiplication.Draw a model to help you.
4/10 are boys, regardless of how many that is.
To find the fraction of boys in the robotics club, we need to determine the number of boys in the drama club, as well as the total number of members in the drama club.
Given that there are 4 boys and 6 girls in the drama club, the total number of members in the drama club is 4 + 6 = 10.
Now, since we know that the ratio of boys to the total number of members is the same in both the drama club and robotics club, we can set up a proportion to find the fraction of boys in the robotics club.
Let "b" represent the number of boys in the robotics club. The proportion is:
4/10 = b/30
To solve this proportion, we can cross multiply:
4 * 30 = 10 * b
120 = 10b
Next, divide both sides of the equation by 10 to isolate "b":
120/10 = 10b/10
12 = b
Therefore, there are 12 boys in the robotics club. Now let's find the fraction of boys:
The total number of members in the robotics club is given as 30. Since there are 12 boys, the fraction of boys can be expressed as:
12/30
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which in this case is 6:
(12/6) / (30/6) = 2/5
So, the fraction of boys in the robotics club is 2/5.
To draw a model to help visualize this,
1. Draw a rectangle to represent the drama club.
2. Split the rectangle into 10 equal parts, representing the total members in the drama club.
3. Shade 4 parts to represent the boys and 6 parts to represent the girls.
4. Next, draw another rectangle to represent the robotics club.
5. Split this rectangle into 30 equal parts, representing the total number of members in the robotics club.
6. Shade 12 parts to represent the boys.
7. Now, you can compare the shaded parts in both rectangles to see that the fraction of boys in the robotics club is 2/5.