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half a swarm of bees went to collect honey from a mustard field. three fourth of the rest went to a rose garden. the rest ten were still undecided. how many bees were there in all
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half a swarm of bees went to collect honey from a mustard field. thre...
Let's assume the total number of bees is x.
Half of the swarm of bees went to collect honey from a mustard field, so the number of bees in the mustard field is 1/2 * x.
The rest of the swarm is x - 1/2 * x = 1/2 * x.
Three-fourths of the rest went to a rose garden, so the number of bees in the rose garden is 3/4 * 1/2 * x = 3/8 * x.
The rest, which is 1/4 of 1/2 * x, is still undecided, so the number of undecided bees is 1/4 * 1/2 * x = 1/8 * x.
We can sum up all the bees: 1/2 * x + 3/8 * x + 1/8 * x = (4/8 + 3/8 + 1/8) * x = 8/8 * x = x.
Therefore, there are x bees in total.
Half of the swarm of bees went to collect honey from a mustard field, so the number of bees in the mustard field is 1/2 * x.
The rest of the swarm is x - 1/2 * x = 1/2 * x.
Three-fourths of the rest went to a rose garden, so the number of bees in the rose garden is 3/4 * 1/2 * x = 3/8 * x.
The rest, which is 1/4 of 1/2 * x, is still undecided, so the number of undecided bees is 1/4 * 1/2 * x = 1/8 * x.
We can sum up all the bees: 1/2 * x + 3/8 * x + 1/8 * x = (4/8 + 3/8 + 1/8) * x = 8/8 * x = x.
Therefore, there are x bees in total.
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