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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):
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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.
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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
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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
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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
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