General
General
Easy

Question

An ice cream store can make 280 quarts of ice cream in 7 hours. ____________ quarts of ice cream can be made in 48 hours.

  1. 1200
  2. 1500
  3. 1780
  4. 1920

hintHint:

In the question , we are given about no of quarts of ice-cream an ice-cream store can make in 7 hours. It is 280. We have to find out how many quarts of ice-cream, the store can make in 48 hours. From the first data we can find out the rate at which the store is making the quarts, by taking the ratio. Using this value we can find the required quantity.

The correct answer is: 1920


    The ice-cream store can make 280 quarts in 7 hours.
    We have to find the rate at which the ice-cream store is making the quarts. We will find it by taking the ratio of number of quarts and time required to make it. As the rate will be constant, we will use this value to find the number of quarts made in 48 hours.
    So the equation becomes
    R a t e space equals fraction numerator N o space o f space q u a r t s over denominator T i m e end fraction space
space space space space space space space space space equals space fraction numerator 280 over denominator 7 space m i n end fraction
space space space space space space space space space equals 40 space p e r space m i n u t e
    So the rate = 40 quarts per hour
    Let’s find the number of quarts in 48 hours
    R a t e space equals fraction numerator N u m b e r space o f space q u a r t s over denominator T i m e end fraction
    We will rearrange this equation for no of quarts, as we have to find number of quarts
    For this we will multiply both sides by Time
    Time × Rate = Number of quarts
    Number of quarts = Time × Rate
    Substituting the values we have found
    Number of quarts = 48 × 40
    Number of quarts = 1920
    Therefore, number of quarts the ice-cream store can make in 48 hours is 1920.

    We should be careful about the units. Before operation we should make sure same quantities have same unit.

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