contestada

O points
3. Tessa is making trail mix out of 28 bags of nuts and 21 bags of dried
fruit. She wants each new portion of trail mix to be identical, containing
the same combination of bags of nuts and bags of dried fruit, with no
bags left over. What are the different combinations of portions of trail mix
Tessa can make? How many bags of nuts and dried fruit will be in each?
(CHOOSE ALL THAT APPLY) *
1 bag of 28 nuts and 21 dried fruits.
7 bags of 4 nuts and 3 dried fruits.
2 bags of 14 nuts and 12 dried fruits.
11 bags of 2 nuts and 3 dried fruits.
Submit
Page 1 of 1

Respuesta :

MrRoyal

Answer:

A and B

Step-by-step explanation:

Given

[tex]Nuts = 28\ bags[/tex]

[tex]Fruit = 21\ bags[/tex]

Required

Determine the appropriate combination

First, we need to determine the factors of 28 and 21

[tex]28: 1 * 28; \\28: 2 * 14; \\28: 4 * 7[/tex]

[tex]21: 1 * 21; \\21: 3 * 7[/tex]

Next, is to bring out the similar traits in both factors

[tex]28: 1 * 28; \\28: 4 * 7[/tex]

[tex]21: 1 * 21; \\21: 3 * 7[/tex]

Represent both in terms of bag, we have:

1 bag of 28 nuts

7 bags of 4 nuts

1 bag of 21 dried fruits

7 bags of 3 dried fruits

This gives:

1 bag of 28 nuts and 1 bag of 21 dried fruits

7 bags of 4 nuts and 7 bags of 3 dried fruits

Hence:

Option A and B are correct