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qaws [65]
3 years ago
13

Luke has a bag of 70 colored marbles. The bag has an equal number of green and blue marbles and an equal number of red and yello

w marbles. If Luke arranged all of the green marbles in groups of 8 and all of the blue marbles in groups of 6, how many yellow marbles are in the bag?
Mathematics
2 answers:
enot [183]3 years ago
8 0

Answer:

There are 11 yellow marbles in the bag.

Step-by-step explanation:

We are given the following information:

Total number of marbles in bag = 70

Number of green marble = Number of blue marbles

Number of red marbles = Number of yellow marbles

Green marbles are arranged in groups of 8 and blue marbles are arranged in groups of 6.

Number of green/blue marble = L.C.M of 8 and 6 .

8 = 2\times 2\times 2\\6 = 2\times 3\\L.C.M = 3\times 2\times 2\times 2 = 24

Thus, there are 24 green marbles and 24 blue marbles.

Thus, there are 70 - 48 = 22 red and yellow marbles.

Since, number of red and yellow marbles are equal, there are 11 red and 11 yellow marbles in the bag.

Karo-lina-s [1.5K]3 years ago
7 0
It could be over 9000 but its actually 11<span />
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