one serving(.5 cup) of cooked peas contains 45 more calories than one serving of cooked carrots and 50 more calories than one serving of green beans. If one serving og carrots and three servings of green beans contain the same number pf calories as one serving of peas, how many calories are there in one serving of peas?

let the calories in one serving of peas be x

then the calories in a serving of carrots is x-45 and in one serving of beans is x-50

one serving of carrots + 3 servings of beans = one serving of beans

x-45 + 3(x-50) = x
x-45 + 3x - 150 = x
3x = 195
x = 65

there are 65 calories in a serving of peas

check
peas = 65
carrots = 20
beans = 15

is 20 + 3(15) = 65 ?? YES

To solve this problem, we can start by setting up equations based on the information provided.

Let's assume that one serving of cooked carrots contains 'C' calories, and one serving of green beans contains 'G' calories.

Based on the given information, we know that:

One serving of peas contains 45 more calories than one serving of cooked carrots, so the number of calories in the peas can be represented as 'C + 45'.

One serving of peas contains 50 more calories than one serving of green beans, so the number of calories in the peas can be represented as 'G + 50'.

The total number of calories in one serving of carrots and three servings of green beans is equal to the number of calories in one serving of peas. Since one serving of carrots contains 'C' calories and one serving of green beans contains 'G' calories, the equation can be written as:

1C + 3G = C + 45 = G + 50

Now, let's simplify the equation:

C + 3G = C + G + 45 = G + 50
2G = 45

To solve for 'G', we divide both sides of the equation by 2:

G = 45/2 = 22.5

Now that we know the calories in one serving of green beans ('G' = 22.5), we can substitute this value into one of the previous equations to find the number of calories in one serving of peas:

C + 45 = 22.5 + 50
C + 45 = 72.5

Subtracting 45 from both sides:

C = 72.5 - 45
C = 27.5

Therefore, one serving of peas contains 27.5 calories.

This is NOT CORRECT