. how many eggs does each dessert require

Question

This is the beggining of the problem.................... Yesterday a chef used 46 eggs to make 9 chocolate souffles and 5 lemon meringue pies the day before, he made 1 chocolate souffle and 5 lemon meringue pies, which used 14 eggs                   i

 

 

just need help setting it up

Answer 1

This question seems unfinished, I am assuming that you are supposed to find out how many eggs is required for each dessert. With this in mind I will help you set up the problem.

 

First off we want to know how many eggs a souffle needs and how many eggs a pie needs. Since these are what we are interested in lets given them symbols:

L := number of eggs in a Lemon pie

S := number of eggs in a Chocolate souffle

 

What we know: the total number of eggs in 9 souffles and 5 pies is to 46

and the number of eggs in 1 souffle and 5 pies is to 14.

 

We can write these as two equations using 4 rules:

1) when we see souffle replace it with S

2) when we see pie replace it with L

3) and means addition in math speak (+)

4) is means equal to in math speak (=)

 

Using these rules we get:

9S + 5L = 46

1S + 5L = 14

 

Now we have a system of equations and can solve for S and L.

Good Luck and I hope this helps. 

 

Please respond if I addressed the wrong question or you need more help.