Respuesta :

Answer:

70 packs, 2 boxes of Raisins and 5 bags of Almonds

Step-by-step explanation:

This can be solved by finding the Highest Common Factor (HCF) of both numbers (140 and 350).

*Can be solved by using factor trees or factorising ladder

HCF of 140 and 350 = 2 x 5 x 7 = 70 (this is the number for identical snack packs, 140 and 350 can be divided by 70)

Raisins = 140 / 70 = 2 boxes of raisins in each pack

Almonds = 350 / 70 = 5 boxes of almonds in each pack

70 snack packs, 2 boxes of raisins, and 5 bags of almonds. The volunteers at a county fair will give away 70 snack packs using all the raisins and almonds, each snack pack will contain 2 boxes of rainsins and 5 bags of almonds.

The key to solve this problem is by using Greatest Common Factor which is the largest of the common factors. To find the GCF we have to find the prime factors of the two numbers and combine the common ones together.

The GCF of 140 and 350 is:

140: 2x2x5x7  

350: 2x5x5x7

The common ones are 2, 5, and 7. The GCF of 140 and 350 is 2x5x7 = 70.

Using all the boxes of raisins and bags of almonds, volunteers will make 70 snack packs.

In order to know how many boxes of raisins and bags of almonds will be in each snack pack:

Boxes of raisins in each snack pack 140÷70= 2

Bags of almonds in each snack pack 350÷70= 5

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