Mr yok wanted to share some,
candies with his pupils. if he gave 2
candies to each of his pupils, he
would have 49 candies left. if he
gave 5 candies to each of his
pupils, he would have 28 candies
left.
(a) how many pupils did mr yok
have? (b) how many candies did
he have?

Good morning,

Step-by-step explanation:

Let x be the number of pupils

and y be the number of candies

→ If he gave 2candies to each of his pupils, he would have 49 candies left

means 2x+49=y

→ If he gave 5 candies to each of his pupils, he would have 28 candies left

means 5x+28=y

then

5x+28=2x+49

⇒ 3x=21

⇒ x=7

therefore y=2x+49=2(7)+49=63.

:)

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c