A carton has twenty chocolates worth rupees 100. The carton consists of Cadbury shots worth rupees 3 each and 5 star worth rupees 11 each. How many 5 star chocolates are there in the carton? [4 MARKS]

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Solution

Visualizing the equation : 2 Marks
Steps : 1 Mark
Result : 1 Mark

Let the no. Of Cadbury shots $= y$

Then no. of 5 star chocolates $= 20 - y$

As given in question, Cadbury shots worth rupees 3 and 5 star worth rupees 11.

Total cost of Cadbury shots is
$= N o . o f s h o t s \times c o s t o f e a c h = 3 \times y = 3 y$

Total cost of 5 star is
$= N o . o f 5 s t a r \times c o s t o f e a c h = (20 - y) \times 11 = 220 - 11 y$

Total worth of chocolates in carton $= 100$

$\Rightarrow 3 y + 220 - 11 y = 100$

$\Rightarrow 220 - 100 = 11 y - 3 y$

$\Rightarrow 120 = 8 y$

$\Rightarrow y = 15$

There are 15 Cadbury shots and 5 5 stars.

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