# Question #f8f4f

##### 1 Answer

Unit rate food A has 200 calories per serving.

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

*(4 quarter-size portions @ 50 calories ea = 200 calories)*

So one whole serving of food A has 200 calories

...................

**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

*(3 third-size portions @ 125 ea = 375 calories.)*

So one whole serving of food B has 375 calories.

.....................

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)