Question

Please help.

Of the 400 6th grade students at Aviara Oaks Middle School, the ratio of boys to girls is 2:3. Of the 360 students at Valley Middle School, the ratio of boys to girls is 3:5.

Which middle school has more boys attending their school?



How many girls attend AOMS?




How many girls attend VMS?




What is the ratio of girls attending Aviara Oaks Middle School to girls attending Valley Middle School?

Answer 1

Explanation:

Aviara Oaks Middle School:

Total student = 400

Boys : girls = 2:3

Boys = 2x , girls = 3x

2x + 3x = 400

5x = 400

x = 400/5

x = 80

Number of boys = 2x = 2*80 = 160

Number of girls = 3x = 3 *80 = 240

VMS:

Total student = 360

Boys : girls = 3 : 5

Number of boys = 3x

Number of girls = 5x

3x + 5x = 360

8x = 360

x = 360/8

x = 45

Number of boys= 3x = 3 *45 = 135

Number of girls = 5x = 5 * 45 = 225

AOMS school has more boys attending their school.

Ratio of girls attending Aviara Oaks Middle School to girls attending Valley Middle School = 240 : 225

= 48 : 45