Question

Victor and his cousin are playing a game where they pick up colored sticks. Victor currently has 26 points and likes to pick up the purple sticks, earning 7 points every turn. His cousin just lost all his points on the previous turn, and has a strategy to catch up by getting all the red ones, earning 20 points per turn. In a certain number of turns, the score will be tied. How many points will they each have? How long will that take?

Victor and his cousin will each have__ points in __turns.

Answer 1

They each will have 20 points

it will take 2 turns

Victor and his cousin will each have 20 points in 2 turns

Explanation:

let the number of turns it will take be x

In x turns, the number of points Victor will have is;

26 + 7(x) = 26 + 7x

In x turns, the number of points the cousin will have is:

20 * x = 20x

so we can get x from here;

20x = 26 + 7x

20x-7x = 26

13x = 26

x = 26/13

x = 2

In two turns, the number of points will be 20(2) = 40 points

It will take 2 turns

Victor and his cousin will each have 40 points in 2 turns