SAT Math Question: Word Problem
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SAT Math Question: Word Problem

[From: ] [author: ] [Date: 11-04-23] [Hit: ]
you see that E = J = $250, which is what we originally got.The significance of the y = 50 is that Emily got $50 from the $1000 of advertising revenue, because her share was 5%.Jacob got 10% of the $1000, which would be $100.......
E = 200 + y
J = 150 + 2y

Setting those equal, you get 200 + y = 150 + 2y, and solving for y you get that y = 50. Plugging back in, you see that E = J = $250, which is what we originally got.

The significance of the y = 50 is that Emily got $50 from the $1000 of advertising revenue, because her share was 5%. Jacob got 10% of the $1000, which would be $100.

There's still a third way to do this problem: Emily gets HALF as much revenue as Jacob. So, let z = the amount of extra revenue JACOB would have earned from advertising. Then you get:
E = 200 + z/2
J = 150 + z

Setting E = J, you get 200 + z/2 = 150 + z. Solving that for z, you get z = 100. In this problem, z represents the 10% share that Jacob got from the $1000 of advertising.

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200 + 0.05x = 150 + 0.1x
0.05x = 50
x = 1000
each one paid 200 + 0.05 × 1000 = 250
or 150 + 0.1 × 1000 = 250
----

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let r be the revenue

solve 200+ 0.05r = 150 + 0.1r
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