Question

Adam can earn money recycling aluminium cans.

Answer 1

The correct answer is:

2000 cans.

Explanation:

It takes 100 p to make 1 £.  This means we can write 50 p as 0.50£.

He earns 15£; since each kg of cans gives him 50 p, or 0.50£, we divide to find out the number of kg of cans:

15/0.5 = 30

He sells 30 kg of cans.  1 kg = 1000 g; this means that 30 kg = 30(1000) = 30000 g.  Each can is 15 g; this means he sold 30000/15 = 2000 g.

Answer 2

Solution :

Given that, Each can weighs 15 g, and he can get paid 50 p per kg.  Adam earns £15.

For 1 kg of recycled can Adam gets 50 p

for 1 gram of recycled can Adam gets = $\frac{50}{1000}=\frac{1}{20}$

Suppose  Adam recycles x number of can.

weight of x number of can =$15\times x=15x\:g$

For  $15x\:g$ Adam gets = $\frac{1}{20} \times15x$

Adam earns a sum of £15 =1500p

$\Rightarrow \frac{1}{20} \times 15x = 1500 \\ \Rightarrow x=1500 \times\frac{20}{15} \\ \Rightarrow x=2000$

Hence, Adam has recycled 2000 cans.