Mathematics
Grade6
Easy

Question

A perfume costs $48 for 12-ounce bottle. ____$ would be the cost of a 2-ounce    bottle.

  1. 8
  2. 3
  3. 5
  4. 7

Hint:

In the question posed, we are given cost of 12-ounce bottle. It is $48. We have to find cost of 2-ounce bottle. From the first data, we can find out the rate of an ounce of a bottle. Using this value, we can find the required quantity.

The correct answer is: 8


    Cost of 12 ounce perfume bottle is $48
    We have to find the rate of per ounce. We will find it by taking the ratio of the cost of cans and number of cans. As the rate is constant, we will use this value to find cost of 2-ounce bottle.
    So the equation become
    R a t e space equals fraction numerator cos t over denominator o u n c e end fraction
space space space space space space space space space equals 48 over 12
space space space space space space space space space equals 4
     So the rate = $4 per ounce
    Let’s find the cost of 2-ounce bottle  
             R a t e space equals space fraction numerator cos t over denominator o u n c e end fraction
    We will rearrange this for cost.
    For this we will multiply both sides by ounce.
    Rate × ounce = cost
    Cost = Rate × ounce
    Substituting the values we have found
    Cost = 4 × 2
    Cost = 8
    Therefore, cost of 2-ounce bottle is $8

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

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