Question

Tere were 20 sweets. Suppose you took 12 for yourself and gave 8 to your friend. What fraction of the sweets did you and your friend get?​

Answer 1

Step-by-step explanation:

Let there be x sweets. When distributed to 25 children, 8 sweets remained. Hence x/25 gives a remainder of 8.

When distributed among 28 students,the remainder is 22.

Equations would be: x = 25a + 8 ( where a is the quotient) and x= 28b + 22 ( where b is the quotient)

This can be written as:25a = 28b +14. This means that 25a is completely divisible by 28b+14

This can be written as:

=> 25a = 25b +3b +14

Hence 3b+14 is divisible by 25

By trial we get: 3*12+14 is divisible by 25. Hence b=12.

Substituting value of b in the 2nd equation, we get the number as 28*12+22=358.

Hence the number of sweets distributed is 358

.........hope it will be helpful to you........

Answer 2

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☾︎ $\underline{\underline{\mathbb{ANSWER}}}$ ☽︎

out of 20 sweets , you took = 12

$\therefore$ Fraction of sweets taken by you = $\huge{\frac{12}{20}}$

$\implies$ $\huge{\frac{3}{5}}$

Again , out of 20 sweets you give to your friend = 8

$\therefore$ fraction of sweet of friend = $\huge{\frac{8}{20}}$

$\implies$ $\huge{\frac{2}{5}}$

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