Add a concert to fifth of the people were men there were three times as many women as children if there were 45 more men than children how many people were there at the concert

His involves creating some equations. First, these are what the letters I used stand for: c = children w = women m = men x = total population Then, we must make an equation for each statement. 2/5x = m (2/5 of the people are men) 3c = w (there are 3 times as many women than children) 45+c = m (there are 45 more men than children) Now, let's start plugging in our numbers: x = all the men, women, and children 2/5(m+w+c) = m 2/5 (45+c +3c + c) = m [Now simplify] 2/5 (45 + 5x) = m [Now Distribute] 2/5(45) + (2/5)(5x) = m 2c + 18 = m [Above we stated that there were the same amount as men as c +45] 2c + 18 = 45 +c [Now set equal to c] 2c (-c) +18 = 45 +c (-c) c+18 (-18) = 45 (-18) c = 27 Now that we know that there was 27 children, we can plug 27 in for c in the other equations. MEN = 27 + 45 WOMEN = 3(27) CHILDREN = 27 Now add those three answers to find your total!