Question

Question #dd112

Answer 1

There are `24` dessert recipies and `48` recipies for main dishes.

Explanation:

Reading the problem, I wrote two equations. The first is that `d`(dessert) `+ m`(main) `=72`. Then, I wrote that `2d=m`, or that there are twice as many dessert recipes as there are main ones.

Now, we use substitution to solve. If `m=2d`, then we insert `2d` where `m` was, chnaging `d+m=72` to `d+2d=72`. This becomes `3d=72`. By dividing by `3`, we see that `d=24`.

If `d=24`, then `24+m=72`. Subtract by `24` on both sides, and we just found the value of `m`, which is `48`. Thus, there are `48` main dish recipies and `24` dessert dishes.