Thread: What is the equation to this problem if the answer is 42 students?

Julian found that the ratio of students in his school who had heard of the Egyptian pharaoh Akhenaten to those who hadn't is 7 : 98. If there are 630 students in his school, how many of them had heard of Akhenaten?

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Since the ratio is 7 to 98, only 7 out of 105 students have heard of him. (That total is the 7 who have and 98 who haven't.)

S = (7/105) * 630 = 42 students

It's the concept of cross multiplication

------------Heard---Didn't---Total
Ratio--------7---------98------105
Students---?---------?-------630



To get number of students who heard of Akhnaton, it's 630*7/105

it's just easy
Let x be the missing #
7:98 : x:630
7x630=4410
98x(x)=98x
4410=98x
Divide both side by 98 so the x will be left on the other side. And the answer is:
4410/98=45
98(x)/98=x
So. The missing x is 45 and not 42

7/98,
simplify,
1/14,
total=630,
630/14=45.
Answer: 45.