ihsoiz
contestada

There are 1175 calories total in a Big Mac, a Grilled Chicken Sandwich and a 6-piece chicken nugget meal.
A 6-piece chicken nugget meal has half the calories of the Big Mac. The Grilled Chicken Sandwich has 200 less
calories than the Big Mac. How many calories are in each of the three food items?

Respuesta :

Big Mac has 550 calories

Chicken Nugget has 275 calories

Grilled Chicken Sandwich has 350 calories

Total number of calories = 1175

Let the number of calories in Big Mac = x

Since the 6-piece chicken nugget meal has half the calories of the Big Mac. Therefore, the number of calories in the chicken nugget = 1/2 × x = 0.5x

Since the Grilled Chicken Sandwich has 200 less calories than the Big Mac.  This will be: = x - 200

To calculate the number of calories in each food goes thus:

x + 0.5x + x - 200 = 1175

Collect like terms

x + 0.5x + x = 1175 + 200

2.5x = 1375

Divide by 2.5

2.5x/2.5 = 1375/2.5

x = 550

Big Mac has 550 calories

Chicken nugget will have:

= 0.5x = 0.5 × 550 = 275 calories

Grilled Chicken Sandwich will be:

= x - 200

= 550 - 200

= 350 calories

Read related link on:

https://brainly.com/question/24435924