Problema Solution
Jose is making a trail mix. The recipe calls for 3 parts golden raisins to 2 parts cashews. Jose would like to make 30 cups of trail mix. How many cups of golden raisins and cashews does Jose need?
Answer provided by our tutors
Let
x = cups of golden raisins, x>=0
y = cups of cashews, y>=0
x : y = 3 : 2 cross multiply
2x = 3y
The total mix is 30 cups means:
x + y = 30
We have the following system of equations:
2x = 3y
x + y = 30
........
click here to see the system of equations solved for x and y
........
x = 18 cups of golden raisins
y = 12 cups of cashews
Jose needs 18 cups of golden raisins and 12 cups of cashews.