Question

In a gift basket of fruits, there were apples, mangoes and pears. There were half as many pears as apples. There were 5 fewer pears than mangoes. If there are 29 fruits altogether, how many fruits of each variety are there ?

Answer 1

Let the number of pears be x.
Number of pears $=\frac{1}{2}$ (Number of apples)
$\therefore$ Number of apples $=2\times Numberofpears$
= 2x
Also, number of pears = Number of mangoes - 5
$\therefore$ Number of mangoes = Number of pears + 5
= x + 5
Total number of fruits = 29
$\therefore x+2x+x+5=29$
$\Rightarrow 4x+5=29$
$\therefore 4x=29-5$
$\therefore x=\frac{24}{4}=6$
$\therefore$ Number of pears = 6
Number of apples $=2\times 6=12$
Number of mangoes $=6+5=11$