Question 327020
Word problems! I use to feel the same way about them. I hope I can clear things up for you ^.^

Let x be the number of $2.50 notebooks sold. Let y be the number of $2.30 notebooks sold. There were a total of 50 notebooks sold, so {{{x+y=50}}}. The second equation you need is a bit trickier. It's {{{2.50x+2.30y=118.60}}}. This equation says that there are x notebooks sold for $2.50 and there are y notebooks sold for $2.30 and their total is $118.60. You can solve first equation for either x or y and then plug it into the second equation. I'll solve for y and get {{{y=50-x}}}. Plugging this into the second equation makes {{{2.50x+2.30y=118.60}}} become {{{2.50x+2.30(50-x)=118.60}}}. Distributing 2.30 gives you {{{2.50x+115-2.3x)=118.60}}}. Combining the x terms and subtracting 115 from both sides gives you {{{0.2x=3.60}}}. Dividing 0.2 from both sides gives you {{{x=18}}}. To find y, you can plug {{{x=18}}} into {{{x+y=50}}} or {{{2.50x+2.30y=118.60}}}. It doesn't matter which one you choose, so you might as well choose the easier one! ^.^ Plugging {{{x=18}}} into {{{x+y=50}}} gives you {{{y=32}}}. They sold 18 notebooks at $2.50 and 32 notebooks at $2.30! ^0^ If you need anymore help from me on this question or other ones, come by my website at http://myonlinetutor.webs.com! \(^o^)/ Thanks!!!