Sarah ate two thirds of the carrot sticks in her lunch yesterday and saved them for today. Her father added 10 more carrot sticks to her lunch for today. Now she has 21 carrot stick in you lunch today. How many carrot sticks did Sarah originally have in her lunch yesterday?
A) 7 carrots
B) 2 carrots
C) 54 carrots
D) 33 carrots
E) 43 carrots

Question

​Sarah ate two thirds of the carrot sticks in her lunch yesterday and saved them for today. Her father added 10 more carrot sticks to her lunch for today. Now she has 21 carrot stick in you lunch today. How many carrot sticks did Sarah originally have in her lunch yesterday?
A) ​ 7 carrots
B) ​ 2 carrots
C) ​ 54 carrots
D) ​ 33 carrots
E) ​ 43 carrots

Quizplus · Accepted Answer

Let's use x to represent the original number of carrot sticks in Sarah's lunch yesterday.

According to the problem, Sarah ate 2/3 of the carrot sticks and saved 1/3 for today.

So she saved (1/3)x carrot sticks for today.

Her father added 10 more carrot sticks to her lunch for today, so the total number of carrot sticks she had for today is (1/3)x + 10.

And we know that this total number is 21.

So we have the equation:

(1/3)x + 10 = 21

Solving for x:

(1/3)x = 11

x = 33

Therefore, Sarah originally had 33 carrot sticks in her lunch yesterday.

The answer is D.

​Sarah Ate Two Thirds of the Carrot Sticks in Her

Sarah Ate Two Thirds of the Carrot Sticks in Her