Question

quan and Krystal earned the same amount of points playing the same video game.Quan played for 45 minutes Krystal played for 30 minutes.Whose rate of points earned per minute was higher? Explain.

Answer 1

The rate of Krystal is higher

Explanation:

Assume that they earned P points in the game

then the rate of Quan =
`(P)/(45)`

and the rate of Krystal =
`(P)/(30)`

∵
`(1)/(30)>(1)/(45)` (if two fractions have same numerator then the greatest fraction which has the smallest denominator)

∴ The rate of Krystal is higher than the rate of Quan

* To be sure let P = 90 as an example

The rate of Quan = 90/45 = 2 points per minute

The rate of Krystal = 90/30 = 3 points per minute

So the rate of Krystal is higher