Diego is making a trail mix for him and his friends to take with them on a hike next week. He mixes
4
2
6
pounds of nuts,
3
3
6
pounds of raisins, and
2
3
6
pounds of chocolate chips. How many
1
3
pound bags of trail mix can he make?
A.
10
B.
11
C.
12
D.
30
E.
31
F.
32
First, we need to find the total weight of the trail mix by adding the weight of nuts, raisins, and chocolate chips:
4 + 3 + 2 = 9 pounds
Next, we need to find how many bags of trail mix we can make with 1/3 pound each. We can do this by dividing the total weight by 1/3:
9 ÷ (1/3) = 27
Therefore, Diego can make 27 bags of trail mix. However, the answer choices only include multiples of 3, which makes sense since we're dividing by 1/3. So, we need to divide 27 by 3:
27 ÷ 3 = 9
So, Diego can make 9 bags of trail mix. Answer choice A is the correct answer.
tell me the answer agian
The answer is A. Diego can make 10 bags of trail mix.
To find out how many 1/3 pound bags of trail mix Diego can make, we need to calculate the total weight of the trail mix and then divide it by 1/3 pound.
First, let's calculate the total weight of the trail mix:
Weight of nuts: 4 + 2 + 6 = 12 pounds
Weight of raisins: 3 + 3 + 6 = 12 pounds
Weight of chocolate chips: 2 + 3 + 6 = 11 pounds
Now, add up the weights of nuts, raisins, and chocolate chips:
12 + 12 + 11 = 35 pounds
Since we need to divide this weight by 1/3 pound, we can multiply both the numerator and denominator by 3 to get a whole number in the denominator:
35 * 3 = 105
Now, we can divide 105 by 1/3 pound:
105 / (1/3) = 105 * 3 = 315
Diego can make 315 bags of trail mix.
Now, let's see which option matches the answer:
A. 10 bags: Not the correct answer.
B. 11 bags: Not the correct answer.
C. 12 bags: Not the correct answer.
D. 30 bags: Not the correct answer.
E. 31 bags: Not the correct answer.
F. 32 bags: Not the correct answer.
Therefore, the answer is not provided in the options. The correct answer is 315 bags.