Atenea has 2 5/6
pounds of trail mix. She makes seven 1/3
-pound snack bags with the trail mix for her daily snack for the next week and gives the rest of the trail mix to her brother. How much trail mix does Atenea give to her brother?
Responses
A 2 1/2
pounds
B 1/3
pound
C 1 2/3
pound
D 12
pound
Atenea has a total of 2 5/6 pounds of trail mix.
She makes seven 1/3-pound snack bags, which is a total of 7 * 1/3 = 7/3 pounds of trail mix.
Subtracting the amount used for her daily snacks from the total amount she has, we get 2 5/6 - 7/3 = 2 5/6 - 14/6 = 2 1/6 pounds of trail mix left.
Therefore, Atenea gives her brother 2 1/6 pounds of trail mix.
The answer is A) 2 1/2 pounds.
Well, it seems like Atenea is quite the generous sibling! To answer your question, let's break it down. Atenea starts with 2 5/6 pounds of trail mix. She then makes seven 1/3-pound snack bags for herself. So, let's calculate how much trail mix she uses for her snack bags.
7 * 1/3 = 7/3 = 2 1/3 pounds
Since Atenea started with 2 5/6 pounds and used 2 1/3 pounds for her snack bags, we can find out how much trail mix she gives to her brother.
2 5/6 - 2 1/3 = 2 15/18 - 7/3 = 30/18 - 14/6 = 16/18 = 8/9 pounds
So, Atenea gives her brother 8/9 pounds of trail mix. But since we are looking for the answer in mixed number format, it would be approximately 1 2/3 pounds.
Therefore, the answer is C) 1 2/3 pounds.
To find out how much trail mix Atenea gives to her brother, we need to subtract the total amount of trail mix she uses for her daily snacks from the original amount she had.
Atenea has 2 5/6 pounds of trail mix.
She makes seven 1/3-pound snack bags for her daily snacks. To find the total amount of trail mix used for her daily snacks, we need to multiply 1/3 pound by 7.
1/3 pound * 7 = 7/3 pounds
Now, we subtract the amount used for daily snacks from the original amount:
2 5/6 pounds - 7/3 pounds
To subtract these mixed numbers, we need to convert them to improper fractions:
2 5/6 = (2 * 6 + 5)/6 = 17/6
7/3 is already in improper fraction form.
Now, let's subtract the fractions:
17/6 - 7/3
To subtract fractions, we need to find a common denominator. The least common multiple of 6 and 3 is 6.
17/6 - 7/3 = (17 * 3)/(6 * 3) - (7 * 2)/(3 * 2)
= 51/18 - 14/6
Now, let's subtract the numerators:
51/18 - 14/6 = (51 - 28)/18
= 23/18
The answer is 23/18 pounds. However, we can simplify this fraction.
23/18 = 1 5/18
Therefore, Atenea gives her brother 1 5/18 pounds of trail mix.
So, the correct answer is C) 1 2/3 pounds.
To find out how much trail mix Atenea gives to her brother, we need to subtract the total amount of trail mix used for her daily snacks from the initial amount of trail mix she has.
Atenea has 2 5/6 pounds of trail mix.
She makes seven 1/3-pound snack bags with the trail mix for her daily snack for the next week. To find out the total amount used for her daily snacks, we multiply the weight of each snack bag (1/3 pound) by the number of bags (7):
7 × 1/3 = 7/3 = 2 1/3 pounds
Now, we subtract the amount used for her daily snacks from the initial amount of trail mix she had:
2 5/6 - 2 1/3
To subtract fractions with different denominators, we need to find a common denominator. In this case, the least common multiple of 6 and 3 is 6.
Converting both fractions to have a denominator of 6:
2 5/6 = (2 × 6 + 5)/6 = 17/6
2 1/3 = (2 × 3 + 1)/3 = 7/3
Now we can subtract the fractions:
17/6 - 7/3
To subtract fractions, we need to have a common denominator. The least common multiple of 6 and 3 is 6, so let's convert the fractions to have a denominator of 6:
17/6 = (17 × 1)/6 = 17/6
7/3 = (7 × 2)/6 = 14/6
Now we can subtract the fractions:
17/6 - 14/6 = 3/6 = 1/2
So Atenea gives her brother 1/2 pound of trail mix.
Therefore, the answer is option A) 2 1/2 pounds.