<p>Can someone show me how to do this question.</p>
<p>The sum of 5 consecutive integers is 1000, what is the value of the greatest of these integers ?</p>
<p>Okay, you'd set up the integer problem like this:</p>
<p>5 integers: x, x+1, x+2, x+3, x+4,
x + (x+1) + (x+2) + (x+3) + (x+4) = 1000
5x + 10 = 1000
5x = 990
x = 198
Greatest integer: x + 4
Therefore, 198 + 4 = 202, which is the answer.</p>
<p>thanks, could also show me how to do this one.</p>
<p>Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same route and averaged 30 miles per hour. If esther spent a total of one hour commuting to and from work, how many miles did Esther drive to work in the morning.</p>
<p>Is this from the first or second test in the collegeboard 07 book? I remember doing this problem...</p>
<p>I like to set up a chart, with 3 verticle colums D R and T for distance rate and time, and the 2 horizontal rows being her morning route and evening route...</p>
<p>so the chart looks like this..</p>
<p>morning: D 45mph T(represents hours)
evening: D 30mph 1-T (1 hour minus ^)</p>
<p>so the morning D = 45t and evening D = 30-30T. Set those equal to one another to get T=.4 hours. Since it asks for morning distance, take .4 and multiply it by the rate 45, and you get 18 miles.</p>