# Question #f8f4f

Nov 20, 2017

Unit rate food A has 200 calories per serving.$\leftarrow$ fewest calories
Unit rate food B has 375 calories per serving.

#### Explanation:

For food A
If 3/4 of a serving has 150 calories,
then 1/4 of a serving must have 50 calories.
(1/4 is one-third of 3/4, so the calories must also be 1/3 as much)

Therefore, all 4 quarters (which is one whole serving) must have $50 \times 4$ calories.
(4 quarter-size portions @ 50 calories ea = 200 calories)

So one whole serving of food A has 200 calories
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For food B
if 2/3 of a serving has 250 calories,
then 1/3 of a serving must have 125 calories.
(1/3 is half of 2/3, so the calories must be half as much too.)

Therefore, all 3 thirds (which is one whole serving) must have $125 \times 3$ calories.
(3 third-size portions @ 125 ea = 375 calories.)

So one whole serving of food B has 375 calories.
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You can tell right away that food A has fewer calories.
3/4 is more than 2/3, but it has far fewer calories.

3/4 (bigger portion) has only 150 calories

2/3 (smaller portion) has 250 calories
(100 calories more for actually a smaller serving)