Mathematics
Grade6
Easy

Question

At the toy store we get 2 board games for $8.8. The cost of 5 board games will be _______________.

  1. 15
  2. 19
  3. 22
  4. 16

hintHint:

In the question posed, we are given cost of 2 board games at a certain store. It is $8.8. We have to find cost of 5 board games given the rate is constant. From the first data, we can find out the rate. Using this value, we can find the required quantity.

The correct answer is: 22


    Cost of 2 board games is $8.8.
    We have to find the rate. We will find it by taking the ratio of the cost of board games and number of board games. As the rate is constant, we will use this value to find cost of 5 board games.
    So the equation become
    R a t e space equals fraction numerator C o s t over denominator N u m b e r space o f space b o a r d space g a m e s end fraction
space space space space space space space space space equals fraction numerator 8.8 over denominator 2 end fraction
space space space space space space space space space equals space 4.4
    So the rate = $4.4 per board game
    Let’s find the cost of 5 board games.
    R a t e space equals fraction numerator cos t space over denominator N u m b e r space o f space b o a r d space g a m e s end fraction
space space space space
    We will rearrange this for cost.
    For this we will multiply both sides by ‘number of board games’.
    Rate × number of board games = cost
    Cost = Rate × number of board games
    Substituting the values we have found
    Cost = 4.4 × 5
    Cost = $22
    Therefore, cost of 5 board games is $22.

    We have to be careful about units. Same quantities must have same unit.

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