Question

Mrs. Menges' chocolate chip muffin has 180 more calories than her oatmeal cookie. If two chocolate chip muffins and four oatmeal cookies have a total of 930 calories, how many calories are in each item?

A) Chocolate chip muffin: 230 calories, Oatmeal cookie: 50 calories
B) Chocolate chip muffin: 360 calories, Oatmeal cookie: 180 calories
C) Chocolate chip muffin: 420 calories, Oatmeal cookie: 240 calories
D) Chocolate chip muffin: 270 calories, Oatmeal cookie: 90 calories

Answer 1

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.