300 hundred kids attend a dance. The ratio of boys to girls is 6 to 4. If 30 boys and 20 girls leave, what is the new ratio of boys to girls still at the dance
There are 6x boys and 4x girls.
add them up: 10x = 300, so x=30.
There are 180 boys and 120 girls.
(180-30):(120-20) = 150:100 = 3:2
A school has 140 boys and girls. The ratio of boys to girls is 2 to 5. How many students are boys and how many students are girls?
To find the new ratio of boys to girls still at the dance, we need to calculate the number of boys and girls after the specified number leave.
The initial ratio of boys to girls is 6 to 4, which means there are 6 boys for every 4 girls.
To find the number of boys and girls initially, we can split the total number of kids attending the dance, which is 300, into parts based on the ratio. Since the ratio is 6 to 4, we need to divide 300 into 6 + 4 = 10 equal parts.
To determine the size of each part, we divide 300 by 10:
300 / 10 = 30.
Each part represents 30 kids. Now we can find the number of boys and girls initially by multiplying the size of each part by the corresponding ratio:
Number of boys = 6 parts * 30 kids per part = 180 boys.
Number of girls = 4 parts * 30 kids per part = 120 girls.
Now, let's calculate the number of boys and girls after 30 boys and 20 girls leave:
Number of boys remaining = 180 boys - 30 boys = 150 boys.
Number of girls remaining = 120 girls - 20 girls = 100 girls.
Therefore, the new ratio of boys to girls still at the dance is 150 to 100, which simplifies to 3 to 2.