I have 102 sandwiches my friends ate 5/8 of the chicken sandwiches and 2/3 of tuna sandwiches,how many of each sandwiches did I make
To find out how many sandwiches of each type you made, we'll start by calculating the number of chicken sandwiches eaten by your friends.
Let's say you made "C" chicken sandwiches. We know that your friends ate 5/8 of them, so the number of chicken sandwiches eaten can be found using the formula:
Chicken sandwiches eaten = (5/8) * C
Next, let's calculate the number of tuna sandwiches eaten by your friends.
Let's say you made "T" tuna sandwiches. We know that your friends ate 2/3 of them, so the number of tuna sandwiches eaten can be found using the formula:
Tuna sandwiches eaten = (2/3) * T
Since the total number of sandwiches you made is 102, we can set up an equation to solve for C and T:
C + T = 102
Now, substitute the calculated values for the sandwiches eaten into the equation:
(5/8) * C + (2/3) * T = 102
This equation represents the information given in the problem. To find the values of C and T, you can solve this equation using algebraic techniques such as substitution or elimination.
Once you have solved the equation, you will find the number of chicken sandwiches (C) and tuna sandwiches (T) that you made.
Starting from 102, the minimum number of chicken sandwiches has to be divisible by 8 and 3, i.e. 24, that leaves 78 tunas, etc.
So possible combinations may be
Chicken/Tuna
24 / 78
48 / 54
72 / 30
96 / 6