Ethan is responsible for buying a week's supply of food and medication for the dogs and cats at a local shelter. The food and medication for each dog costs twice as much as those supplies for a cat. He needs to feed 164 cats and 24 dogs. Her budget is Rs. 4240. How much can Ethan spend on each dog for food and medication?
[4 MARKS]
Let the expenditure on a cat be y
Then expenditure on a dog =2y.
Total expenditure on cats =164×y=164y
Total expenditure of dogs =24×2y=48y
According to question :
164y+24×2y=4240
\(\Rightarrow 164y + 48y = 4240\)
\(\Rightarrow 212y = 4240\)
\(\Rightarrow y = \frac{4240}{212} = 20\)
Hence, expenditure of a dog =2y=40
So, for 24 dogs the total expenditure is
=24×40=Rs.960