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Alik [6]
2 years ago
6

6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. W

hat is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?
Mathematics
1 answer:
Sergeu [11.5K]2 years ago
8 0

Answer:

Greatest sack = 42

1 candy bar and 3 lollipops

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Step-by-step explanation:

Represent Candy bars with C and Lollipops with L

C = 42

L= 126

Solving (a): Greatest number of treat sacks

To solve this, we simply calculate the GCF of C and L

42 = 2^1 * 3^1 * 7^1

126 = 2^1 * 3^2 * 7^1

Hence, the GCF is

GCF = 2^1 * 3^1 * 7^1

GCF = 42

Hence, greatest number of sack is 42

Solving (b): Number of treat in each sack.

To do this, we simply divide the number of C and L by the calculated GCF

For C:

Treats = \frac{C}{GCF}

Treats = \frac{42}{42}

Treats = 1

For L:

Treats = \frac{L}{GCF}

Treats = \frac{126}{42}

Treats = 3

<em>Hence, 1 candy bar and 3 lollipops</em>

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