solution:
Let's begin by noting the ratio we need:
  4 green : 3 yellow wax beans
Â
So we know we will be dealing with "x" multiples of the numbers in this ratio. Â Since we are given the total number of beans, we can write an equation using "x" as the multiplier of these ratio numbers. Â Then we can solve the equation for our multiplier "x" to calculate the right ratio numbers for our given total number of beans:
  4x + 3x = 56 (our equation using "x" multiplier)
  7x = 56
   x = 8 (our ratio multiplier)
Â
Applying our ratio multiplier, we get our answers:
4x = 4(8) = 32 green beans
3x = 3(8) = 24 yellow wax beans
As a check, we can see that 32 and 24 do add up to our given total of 56 beans, so we are confident that our answers are correct.