Another SAT M Q

<p>Dwayne has a newspaper route for which he collects k dollars eacy day. From this amount he pays out k/3 dollars per day for the cost of the papers and he saves the rest of the money. In terms of k, how many days will it take Dwayne to save $1,000?</p>

<p>the answer is 1500/k, which I got by plugging in. can anyone give me a tip on doing it algebraically?</p>

<p>Basically he is getting 2/3 of the money he earns. So "k" x (2/3) = 1000. Multiply by the reciprocal of (2/3). 1000 x (3/2)= $1500.</p>

<p>oh, loll, ok i forgot to divide by two. haha aite thx newt!</p>

<p>Chochocho- sit down and do some reasoning. if he makes k a day and then pays out k/3 a day for costs, then the total money he makes in a day is k-k/3.</p>

<p>To find the amount of days (we'll say x) it will take him to make $1000, we just use common sense.</p>

<p>x(k-k/3) = 1000</p>

<p>x(2k/3) = 1000</p>

<p>x = 1000/(2k/3)</p>

<p>x = 1500/k</p>

<p>dodgerblue- good reasoning, the answer, however, isnt in $</p>

<p>adidasty, thanks for clearing that up!</p>

<p>No problom mon anytin i can do to help mon</p>

<p>whoa i just did that problem on a practice test from my tutoring company. where did u do urs?</p>

<p>The Official SAT Study Guide (New SAT)
Test 1</p>

<p>ok guys, another math prob.<br>
If r^5 - (r^4)*(s) = 96 and r- s = 6, which of the following could be the value of r +S?
A) -10
B) -6
C -4
D 2
E 10</p>

<p>bu m p</p>

<p>r^5 - r^4*s = 96
r^4(r-s) = 96
r^4(6) = 96
r^4 = 16
r = 2</p>

<p>r - s = 6
2 - s = 6
s = -4</p>

<p>r + s = 2 + -4 = -2</p>

<p>Hm... not one of the answers, but I thought I did everything right ....</p>

<p>sonar, you forgot to consider the fact that the answer to r^4=16 can be r= -2 as well as +2. if you substitute -2 in the equation r-s=6, s= -8.
-8+(-2)= -10</p>

<p>so A should be the right answer. anyone get anything else?</p>

<p>yeah youre right, math on</p>

<p>ah, I can't believe that I missed that</p>