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Elis [28]
3 years ago
9

You are making necklaces for your friends. You have 72 blue beads and 42 red beads. Each friend will receive an identical neckla

ce, and all beads must be used.
(A) What is the greatest number of friends who can receive a necklace? Explain your reasoning.
(B) How many of each color bead will each friend receive on the necklace? Explain your reasoning.

Help me for free minecoins T-T
Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

A) 6 friends

B) 12 blue beads and 7 red beads

Step-by-step explanation:

<em>Step 1: Find the total number of beads</em>

Blue beads + red beads = Total beads

72 + 42 = 114

<em>Step 2: Find the ratio of blue beads to red beads</em>

Blue/red = 72/42 = 12/7

<em>Step 3: Find the total number of beads in each necklace</em>

Add the ratio found in step 2

12 + 7 = 19 beads in each necklace

<em>Step 4: Find the number of necklaces</em>

Total beads/beads in each necklace

114/19 = 6

There will be 6 identical necklaces.

A) 6 friends will receive a necklace

B) Each friend will receive 12 blue beads and 7 red beads on each necklace.

!!

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The solution is: x=-1 and y=3.

Step-by-step explanation:

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A = (C * B) + R, which is the structure we are going to use next.

Using the Euclidian Algorithm we need to find the highst common factor (HCF) between the coefficients from your equation, this means:

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We need to find the HCF of 'A' and 'B'. Using the Euclidan Algorithm (EA), so we have:

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Now using the (EA) we divide the divisor (B=9) by the obtained remainder (R=8). And we do the same for each obtained result until the las remainder (R) is equal to 0, like this:

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using the divisor (B=8) and the remainder (R=1) we obtain:

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Next step is to use the equation before R=0, so:

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So, the solution is: x=-1 and y=3.

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