PLEASEEEEE HELP Jonah bought 3 packages of hot dogs and 2 packages of hot dog buns and paid $21.90. He went back and purchased 2
more hot dog packages of and 5 more packages of hot dog buns and paid $23.40. Assuming there was no change in the individual cost of each item, what is the cost per package of hot dogs and hot dog buns? PLEASE SHOW WORK
3d + 2b = 21.9 2d + 5b = 23.4 multiply the first by 2 and the second by 3 6d + 4b = 43.8 6d + 15b = 70.2 the coefficeint of d is the same in both equations, so subtract the first from the second 11b = 26.4 divide b = 2.4 each bun is worth 2.4
take the first equation and plug the price of buns in 3d + 2b = 21.9 3d + 2(2.4) = 21.9 3d + 4.8 = 21.9 3d = 17.1 d = 5.7 each hot dog is worth 5.7
A method you could use to do this more easily or check your answers would be to graph the fuctions used on a website like desmos