Question by Cloud - Discuss with MathYouLike

Cloud moderators

13/12/2017 at 16:32

Ali gives Stan a closed box that contains at least one of each token worth 5, 11 or 19 points. Ali says that the tokens have a combined value of 56 points. How many tokens are in the box?

List of answers

Lê Quốc Trần Anh Coordinator 29/12/2017 at 17:45

It is impossible to combine only 2 different-value tokens because 5+19, 11+19, 5+11 \(⋮̸\) 56

Add three different tokens we have: \(5+11+19=35\left(points\right)\)

We have: \(56-35=21\) (points) left when we add two tokens.

Because 21 points worth 2 5-point tokens and a 11-point token so in the box, there are:

+ 3 5-point tokens

+ 2 11-point tokens

+ 1 19-point tokens
FA Liên Quân Garena 30/12/2017 at 21:48

it is impossible to combine only 2 different-value tokens because 5+19, 11+19, 5+11 ⋮̸

56

Add three different tokens we have: 5+11+19=35(points)

We have: 56−35=21

(points) left when we add two tokens.

Because 21 points worth 2 5-point tokens and a 11-point token so in the box, there are:

+ 3 5-point tokens

+ 2 11-point tokens

+ 1 19-point tokens

Weekly ranking