Final answer:
By setting up equations based on the information given, the calculated values indicate a chocolate chip muffin contains 275 calories, and an oatmeal cookie contains 95 calories, which is closest to option D from the provided answer choices.
Step-by-step explanation:
To determine how many calories are in each item, Mrs. Menges' chocolate chip muffin and her oatmeal cookie, we need to set up a system of equations based on the information given:
- Let m represent the calories in one chocolate chip muffin.
- Let c represent the calories in one oatmeal cookie.
We know from the question:
- m = c + 180 (The muffin has 180 more calories than the cookie.)
- 2m + 4c = 930 (Two muffins and four cookies have a total of 930 calories.)
Now we can substitute m with c + 180 in the second equation:
- 2(c + 180) + 4c = 930
- 2c + 360 + 4c = 930
- 6c + 360 = 930
- 6c = 570
- c = 95
Now that we have c, we can find m:
- m = c + 180
- m = 95 + 180
- m = 275
Therefore, the chocolate chip muffin has 275 calories and the oatmeal cookie has 95 calories.
The closest answer from the given options is D) Chocolate chip muffin: 270 calories, Oatmeal cookie: 90 calories, although the exact calculated values are not listed among the provided options.