Question

You are planning your dinner, which will consist of a 6‐ounce fruit smoothie, B blueberries, and M mushroom meatballs. The 6‐ounce smoothie has 500 calories, each blueberry has 0.80 calories, and each mushroom meatball has 40 calories. In addition to the smoothie, you wish to eat 55 additional items (e.g., 10 blueberries and 2 meatballs would be only 12 additional items), and you wish to eat 740 total calories. How many mushroom meatballs (M) and blueberries (B) should you eat?

Answer 1

Let the number of meatballs be M and the number of blueberries be B.

A smoothie has 500 calories and total calory intake is 740 calories. So the amount of calories from blueberries and meatballs is = 740 - 500 = 240

So, we can write

40M + 0.80B = 240

which can be simplified as

M + 0.02B = 6 ----------------------------(i)

Again, the number of additional items is 55. So, M and B should add up to 55.

Hence, we have

M + B = 55 -----------------------(ii)

Subtracting eq(i) from eq(ii), we have

M + B - M - 0.02B = 55 - 6

or , 0.98B = 49

or, B = 49/0.98 = 50

M = 55 - B = 55 - 50 = 5

So, the number of meatballs is = 5

The number of blueberries is = 50

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