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WARRIOR [948]
3 years ago
13

Farmer Brown and Farmer Green were talking over their fence one afternoon. Farmer Brown said, "If you gave me one of your cows,

we would have the same number of cows." Farmer Green said, "If you gave me one of your cows, I would have twice as many cows as you." How many cows do they have in total?
Mathematics
1 answer:
qaws [65]3 years ago
3 0

Farmer Brown has 5 cows and farmer Green has 7 cows

Step-by-step explanation:

Let the no. of cows farmer brown has be 'b'

Let the no. of cows farmer green has be 'g'

Given that,

B+1 = G-1

G = B + 2

G+1 = 2(B-1)

G+1 = 2B - 2

G = 2B -3

B + 2 = 2B - 3

2 + 3 = 2B - B

B = 5

G = B +2

G = 5 + 2

G = 7

Farmer Brown has 5 cows and farmer Green has 7 cows

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15 is 60% of what number?
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6 0
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Read 2 more answers
Mrs. Martini is 6 years more than 3 times as old as Tony. Eight years ago, she
zalisa [80]

Mrs Martini age is 42 years and Tony age is 12 years

Step-by-step explanation:

The given is:

  • Mrs. Martini is 6 years more than 3 times as old as Tony
  • Eight years ago, she  was 2 years less than 9 times as old as he was then

Assume that Tony is x years old now

∵ Mrs. Martini is 6 years more than 3 times as old as Tony

∵ Tony is x years old

- Multiply the age of Tony by 3 and add 6 to the product

∴ The age of Mrs Martini = 3 x + 6

8 years ago

- Subtract 8 from the age of each one

Tony age = (x - 8)

Mrs Martini age = (3 x + 6) - 8 = 3 x + 6 - 8 = 3 x - 2

∵ Eight years ago, Mrs Martini was 2 years less than 9 times as old

  as Tony was then

- Multiply Tony age by 9 and subtract 2 from the product

∵ Tony age from 8 years ago = x - 8

∵ Mrs Martini age from 8 years ago = 3 x - 2

∴ 9(x - 8) - 2 = 3 x - 2

- Simplify the left hand side

∴ 9 x - 72 - 2 = 3 x - 2

- Add like terms

∴ 9 x - 74 = 3 x - 2

- Subtract 3 x from both sides

∴ 6 x - 74 = -2

- Add 74 to both sides

∴ 6 x = 72

- Divide both sides by 6

∴ x = 12

∵ x represents the age of Tony

∴ Tony is 12 years old

∴ 3 x + 6 is the age of Mrs Martini

- Substitute x by 12

∵ 3(12) + 6 = 36 + 6 = 42

∴ Mrs Martini is 42 years old

Mrs Martini age is 42 years and Tony age is 12 years

Learn more:

You can learn more about word problems in brainly.com/question/10557938

#LearnwithBrainly

6 0
3 years ago
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