Carla is making bean salad. The recipe calls for 4 parts green beans to 3 parts yellow wax beans. Carla would make 56 ounces of bean salad. How many ounces of green beans and yellow wax beans does Carla need?

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Respuesta :

Let's begin by noting the ratio we need:

   4 green : 3 yellow wax beans

we know we will be dealing with "x" multiples of the numbers in this ratio.  Since we are given the total number of beans, we can write an equation using "x" as the multiplier of these ratio numbers.  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

   7x = 56

     x = 8 (our ratio multiplier)

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,  

Answer:

32 ounces green beans and 24 ounces yellow wax beans

Step-by-step explanation:

Carla is making bean salad.

The recipe calls for 4 parts green beans and 3 parts yellow wax beans.

Beans would be used in the ratio of 4 : 3.

Carla would make 56 ounces of bean salad.

We will use 'x' as the multiplier of ratio numbers

4x + 3x = 56

7x = 56

x = [tex]\frac{56}{7}[/tex]

x = 8

Now we multiply both the numbers by 8 to get our answers.

4x = 4 × 8 = 32 ounces green beans

3x = 3 × 8 = 24 ounces yellow wax beans

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