There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1 3/5 of the girls play a musical instrument. 4/5 of the boys play a musical instrument. What fraction of the 60 children play a musical instrument?

3/20

Step-by-step explanation:

There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1

Step 1

We find the number of girls and boys

The ratio is given as:

Girls : Boys

3:1

The sum of Proportion = 3 + 1 = 4

The number of girls

= 3/4 × 60 children

= 45 girls

The Number of boys

= 1/4 × 60 children

= 15 boys

Step 2

From the question, we are told:

3/5 of the girls play a musical instrument.

The number of girls that play Instruments is calculated as:

3/5 × Number of girls

= 3/5 × 45 girls

= 27 girls

4/5 of the boys play a musical

instrument.

The number of boys that play Instruments is calculated as:

4/5 × Number of boys

= 4/5 × 15 boys

= 12 boys

Step 3

The fraction of the 60 children that play a musical instrument is calculated as:

Sum of boys and girls that play a musical instrument/ 60 children

= 27 girls + 12 boys/60

= 39/60

= 3/20

The fraction of the 60 children that play a musical instrument is 3/20

Step-by-step explanation:

Parallel lines have the same slope.

Point-slope equation for line of slope 3 that passes through (1,-2):

y+2 = 3(x-1)