Mathematics
Grade6
Easy

Question

Ryan scored 104 points in 26 minutes at a quiz competition. At the same rate, _______ points are scored in 40 minutes.

  1. 140
  2. 160
  3. 135
  4. 125

Hint:

In the question posed, we are given the number of points scored by Ryan in 26 minutes in a quiz competition. It is 104. We have to find the number of points scored by Ryan in 40 minutes at the same rate. From the first data, we can find out the rate at which Ryan scores the point by taking the ratio. Using this value, we can find the required quantity.

The correct answer is: 160


    Ryan scored 104 points in 26 minutes.
    We have to find the rate at which Ryan scores the points. We will find it by taking the ratio of the number of points and the time required to score it. As the rate is constant, we will use this value to find the number of points scored in 40 minutes.
    So the equation becomes
    R a t e space equals space fraction numerator N u m b e r space o f space p o i n t s over denominator T i m e end fraction
space space space space space space space space space equals space fraction numerator 104 over denominator 26 space m i n end fraction
space space space space space space space space space equals space 4
    So the rate = 4 points per minute.
    Let’s find the number of points in 40 minutes.
    R a t e space equals fraction numerator N u m b e r space o f space p o i n t s over denominator T i m e end fraction
    We will rearrange this equation for the number of points,as we have to find the number of points.
    For this we will multiply both sides by time.
    Time × Rate = Number of points
    Number of points = Time × Rate
    Substituting the values we have found
    Number of points = 40 × 4
    Number of points 160
    Therefore, number of points scored by Ryan in 40 minutes is 160.

    We should be careful about the units. We should make sure that same quantities have same value.

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