Question
Ethan is given the responsibility of 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 cost twice as much as the supplies for a cat. He needs to feed 164 cats and 24 dogs. His budget is Rs. 4240. How much can Ethan spend on each dog for food and medication? [4 MARKS]
Answer:
:
Framing the equation 2 Marks
Steps: 1 Mark
Result: 1 Mark
Let the expenditure on a cat be y
The 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
⇒164y+48y=4240
⇒212y=4240
⇒y=4240212=20
Hence, expenditure of a dog =2y=40
So, for 24 dogs the total expenditure is
=24×40=Rs.960
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:
Framing the equation 2 Marks
Steps: 1 Mark
Result: 1 Mark
Let the expenditure on a cat be y
The 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
⇒164y+48y=4240
⇒212y=4240
⇒y=4240212=20
Hence, expenditure of a dog =2y=40
So, for 24 dogs the total expenditure is
=24×40=Rs.960
Was this answer helpful ?
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