Question

A website allows users to download television episodes and music videos. All television episodes cost the same to download, and all the music videos cost the same to download. Ryan pays $5.95 to download 4 television episodes ans 1 music video. Seth pays $6.95 to download 3 television episodes and 2 music videos. How much does the website charge to download a television episode? a music video?

Answer 1

For Ryan it would be 5.95=4t+m
For Seth it would be 6.95=3t+2m
1.So next you would figure out just one of the prices by moving the equation around and getting just one variable on each side: m=5.95-4t
2. Substitute that into the second equation and solve: 6.95=3t+2(5.95-4t) then
6.95=3t+11.9-8t (subtract 11.9 from each side) -4.95=-5t (divide each side by 5) t=.99
3. now you know each each tv show is 99 cents. now substitute that into the equation and solve: 6.95=3(.99)+2m then 6.95=2.97+2m (subtract 2.97 from each side) 3.98=2m (divide each side by 2) m=1.99
4. now you know each music video is $1.99 each. check your answer by substituting in each equation:
5.95=4(.99)+(1.99) 5.95=5.95 yes!
6.95=3(.99)+2(1.99) 6.95=6.95 yes!
5. solve in a full sentence: The website charges $0.99 to download a television show and $1.99 to download a music video