<p>1) Sally paints a house in 6 hours. John paints a house in 4 hours. How long does it take if they paint one house together?</p>
<p>2) The price of a dress is 300 dollars after 20% discount. How much is the original price?</p>
<p>PLEASE SHOW METHOD(S). GRACIAS.</p>
<p>2) $375 was the original price. I use the guess and check method</p>
<p>375 x .2= 75
375- 75= 300</p>
<p>1) We know John paints 1/4 a house in 1 hour. We know sally paints 1/6 a house in 1 hour.
1x/4 + 1x/6= 1 (1 is the whole job being done)
Find the LCD</p>
<p>3x/12 + 2x/12= 1</p>
<p>5x= 12</p>
<p>x= 12/5 houses together which is 2.4</p>
<p>For 1) just do 1/( 1/4 + 1/6) because John paints 1/4 of the house in an hour and Sally paints 1/6 of the house in an hour... together they paint (1/4 + 1/6) of the house... hence the method...</p>
<p>Remember it is coming from (1/time together) = (1/time John) + (1/time Sally)</p>
<p>Yeah, that makes no sense to me.</p>
<h1>2 ) You did it backwards. HOw can you start out with 375 when you don't know the answer? Can someone show me how to do this correctly?</h1>
<h1>1) That doesn't make sense. You say 12/5 HOUSES or HOURS? And why does 1/6 + 1/4 = 1?</h1>
<p>Oh, Gator makes it make a little more sense.</p>
<h1>2) 300= X*.8 where x is the original price</h1>
<p>300/.8=375</p>
<h1>1) I believe you get that John paints at 1/4 of a house per hour. .25 houses/hour Sally paints at 1/6 houses per hour. Together, that is 1/4 + 1/6 houses per hour. That is 5/12 of a house per hour. A little arithmetic and voila.</h1>
<p>^^^^ you completely read the question wrong for number 1. Its asking how long it takes not how many houses.</p>
<p>It's one step from getting it for one house...</p>
<p>ok I see. My bad. I didnt see the 'a little arithmetic and viola"</p>
<p>its cool. i just got lazy</p>