Mathematics
Grade6
Easy

Question

The total weight of 4 tyres is 800 pounds. ___________ pounds would be the weight of 7 tyres, at the same rate.

  1. 900
  2. 1000
  3. 1400
  4. 850

Hint:

We are given the weight of 4 tyres. It is 800 pounds. We are asked to find out the weight of 7 tyres, given that the rate is constant. To solve this question, we will have to take the ratio of the quantities in the first data to find the rate. After finding the value of the rate, we can find the weight of 7 tyres.

The correct answer is: 1400


    The weight of 4 tyres is 800 pounds.
    Let the number of tyres be denoted as N.
    We have to find the weight of the 7 tyres.
    Let’s find the rate by taking the ratio of weight and the number of tyres. From the ratio, we will find the weight per tyre. And we will use this to find the weight of 7 tyres.
    R a t e space equals space fraction numerator W e i g h t over denominator N end fraction
space space space space space space space space space equals fraction numerator 800 space p o u n d s over denominator 4 space t y r e s end fraction
space space space space space space space space space equals space 200 space p o u n d s space p e r space t y r e
    As rate is constant, using this value we will find the weight of 7 tyres
    R a t e equals fraction numerator W e i g h t over denominator N end fraction
    We will rearrange the expression for weight by multiplying both the sides by N.
    Rate × N = weight
    Weight = Rate × N
    = 200 × 7
    = 1400 pounds
    Therefore, the weight of 7 tyres is 1400 pounds.

    The other method is to take the ratios and directly equate them. As the rate is constant, so the ratios will be constant. So we will consider the quantity we have to find as x and then equate the ratios. It will be a shortcut.

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