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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.

16
24
12
13

hint 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 + 1 $1 third$ 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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