[size=12.0012px]90 students represent x percent of the boys at Jones Elementary School. If the boys at Jones Elementary make up 40% of the total school population of x students, what is x? [size=12.0012px]正确答案是150. 小弟看不懂这个题目什么意思啊, 特别是第一句话。灰色部分为Manhattan的解析, 还是晕,求解啊! [size=12.0012px]解析:[size=12.0012px]We are told that the boys of Jones Elementary make up 40% of the total of x students.[size=12.0012px] Therefore: # of boys = .4x
We are also told that x% of the # of boys is 90.
Thus, using x/100 as x%:
(x/100) × (# of boys) = 90
Substituting for # of boys from the first equation, we get:
(x/100) × .4x = 90
(.4x2) / 100 = 90
.4x2 = 9,000
x2 = 22,500
x = 150 |