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3 years ago

THE SEVEN APPLEWOMEN

Mathematics

2 answers:

Sliva [168]3 years ago

7 0

Answer:

zero

Step-by-step explanation:

If the same sum is received for the sale of 20 apples at price p as is received for the sale of 140 apples at price p, then we must have ...

20p = 140p

120p = 0 . . . . . . subtract 20p

p = 0 . . . . . . . . . divide by 120

The price was zero.

Assoli18 [71]3 years ago

7 0

Answer:

Price was 1 unit of money per each 7 apples and 3 units of money per each extra apple
Each woman received 20 unit of money

Step-by-step explanation:

This is the tricky one

I think 'The Seven Apple' is the hint. Let's see what the numbers have to do with 7:

20 = 7*2 + 6
40 = 7*5 + 5
60 = 7*8 + 4
80 = 7*11 + 3
100 = 7*14 + 2
120 = 7*17 + 1
140 = 7*20 + 0

Assume each '7 apples' sold for a fixed price x and each 'extra' apple sold for a different price y. Since all add up to make same amount, we get:

2x + 6y = 5x + 5y = ... = 20x

Let x = 1, then we get y = 3

<u>So we get the sold price:</u>

20 apples cost: 2*1 + 6*3 = 20
40 apples cost: 5*1 + 5*3 = 20
...
140 apples cost: 20*1 = 20

So each apple woman got 20 units of money for their apples.

Price was 1 unit of money per each 7 and 3 units of money per each extra apple

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