Mathematics
Grade10
Easy

Question

Amanda eats half of the apples bought, and Alex eats 1 third of the apples. Find the number of apples Amanda had if their father bought 20 apples in total.

  1. 16
  2. 24
  3. 12
  4. 13

Hint:

In this question, we have to find the total number of apples Amanda had if she eats half of the apples bought, and Alex eats 1 third of the apples and the number of apples her father bought were 20. We will assume the total number of apples be x. So, the number of apples Amanda had is 1 half x and the number of apples Alex had is 1 third x and their sum will be 20. Later by equating the equation form, we will get the value of x and so can find the number of apples Amanda had.

The correct answer is: 12


    Let the number of apples be x.
    Number of apples Amanda had = 1 half x
    Number of apples Alex had = 1 third x
    Given: Total number of apples are 20
    ⇒ 1 half x + 11 third x = 20
    3 over 6 x + 2 over 6 x = 20
    ⇒  5 over 6 x = 20
    ⇒ 5x = 120
    ⇒x = 24
    Now, number of apples Amanda had = 1 half × 24
    = 12

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