SOLUTION: The number of boys in the school is 120% of a number of girls at the school. find the number of boys if there are 320 girls. find the number of girls if there are 360 boys

Question 1100340: The number of boys in the school is 120% of a number of girls at the school. find the number of boys if there are 320 girls. find the number of girls if there are 360 boys
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Problem 1) The number of boys in the school is 120% of a number of girls at the school. Find the number of boys if there are 320 girls.
------------------------------------------------

Let,
B = number of boys
G = number of girls

We are told that "The number of boys in the school is 120% of a number of girls at the school" so that means
number of boys = 120% of (number of girls)
B = 120% of (G)
B = (120/100) * (G)
B = 1.20*G

Plug in the other piece of given info that G = 320 (there are 320 girls) and compute to find B
B = 1.20*G
B = 1.20*320 ... G has been replaced with 320
B = 384

There are 384 boys if there are 320 girls
============================================================================================================================================
Problem 2) The number of boys in the school is 120% of a number of girls at the school. Find the number of girls if there are 360 boys
------------------------------------------------

From problem 1 above, we know that the equation is B = 1.20*G because the initial set up is the same. The only thing different now is that we are given there are 360 boys, so B = 360. We need to find the value of G (number of girls)

B = 1.20*G
360 = 1.20*G ... replace B with 360
360/1.20 = 1.20*G/1.20 ... divide both sides by 1.20 to undo the multiplication
300 = G
G = 300

There are 300 girls if there are 360 boys

RELATED QUESTIONS
The ratio of the number of boys to girls in a school is 4:5. If there are 120 boys, then (answered by ikleyn)

The ratio of the number of boys to the number of girls at school is 4:5. If there are 120 (answered by TimothyLamb)

the ratio of number of boys and girls in a school is 4:3. If there are 480 boys in the... (answered by rfer)

If 70% of the students in a school are boys and the number of girls is 540,find the... (answered by Edwin McCravy,ptaylor)

There are 12%boys in a school. If the number of boys is 36 find the number of girls and... (answered by rothauserc)

there are 55% of boys in the school,total number of girls are 900.find total number of... (answered by ewatrrr)

the ratio of boys to girls in a school is 7:6. If the number of boys and girls in a... (answered by ankor@dixie-net.com)

The number of boys to girls in a school is in the ratio 12:13. if the difference in the... (answered by josgarithmetic)

in a school 3/5 of the students are girls. if the number of boys in the school is 200 ,... (answered by rothauserc)