Question #dd112

1 Answer
Rachel
Dec 23, 2016

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.

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