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Vinil7 [7]
3 years ago
14

The florist can order roses bunches of one dozen and lilies in bunches of 8.

Mathematics
1 answer:
vekshin13 years ago
3 0

9514 1404 393

Answer:

  1. (rose bunches, lily bunches) ∈ {(2, 3), (4, 6), (6, 9), (8, 12)}. The least is (2, 3).

  2. 6(2+3); 14(3+1); 9(4+3)

Step-by-step explanation:

I like Euclid's algorithm for finding the greatest common factor (GCF): divide the larger number by the smaller, and note the remainder. If the remainder is zero, the smaller is the GCF; if not, use the remainder in place of the larger number and repeat.

__

1. The GCF of 8 and 12 is 4, so the least common multiple is ...

  LCM(a, b) = ab/GCF(a, b)

  LCM(8, 12) = 8·12/4 = 24

24 roses is 2 bunches; 24 lilies is 3 bunches. Up to 8 bunches of roses can be ordered to keep the number less than 100.

The florist could have ordered these numbers of bunches (roses, lilies):

  (2, 3), (4, 6), (6, 9), (8, 12)

The least order is 2 bunches of roses and 3 bunches of lilies.

__

2.

A. GCF = 6, so the factored form is 6(2+3)

B. GCF = 14, so the factored form is 14(3+1)

C. GCF = 9, so the factored form is 9(4+3)

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Step-by-step explanation:

Nima uses 2/3 cups of peanuts to make a recipe of 2 1/4 = 9/4 cups of trail mix. If we want to find how many cups of peanuts are there per cup of trail mix, we can do a rule of three:

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Step-by-step explanation:

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Step-by-step explanation:

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