i need a experts anwser

Question

1) The cost of 4 hot dogs and a $3.50 hamburger is the same as the cost of 3 hot dogs and three $2 cans of soft drink what is the cost of a hot dog

2) Rachael and morris's combine age is 34. Given that Morris is 8 years older than rachael, write an equation and use it to find racheals age

Answer 1

4x + 3.50 = 3x + 6

x + 3.50 = 6

x = 2.50

-------------------------------------

x + x+8 = 34

2x + 8 = 34

2x = 26

x=13

Answer 2

If H is the cost of a hot dog, 4H+3.50=3H+6 -> H+3.50=6 -> H=2.50

If R is Rachel's age and M is Morris', R+M=34 or M=34-R We also know that M=R+8, so

34-R=R+8 -> 34=2R+8 -> 26=2R -> 13=R