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3 years ago

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a shop sells sweets in bags of 7 and 20 what is the largest number of sweets that cannot be purchased exactly?

1 answer:

bogdanovich [222]3 years ago

8 0

By the Frobenius Coin Theorem, also known as the Postage Stamp Theorem or the Chicken McNugget Theorem, the maximum amount that cannot be represented as a sum of multiples of two relatively prime numbers a and b (numbers that have GCF of 1) is ab-a-b. Plugging 7 and 20 in, our answer is 7*20-7-20, or 140-27, or 113.

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egoroff_w [7]

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you must replace x by the number between parenthese.

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3 years ago

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Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

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$R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)$

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$\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)$

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Hence, the coordinates of point R is (–3, 4).

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3 years ago