Question #dfbed

1 Answer
Dec 24, 2016

So, the dog will eat (7+(7d)/3)(7+7d3) cans in (3+d)(3+d) days.

Explanation:

Let xx be the number of cans that can be eaten by it in (3+d)(3+d) days.

Here the ratio number of cans = 7:x=7:x

The ratio of number of days = 3:(3+d)=3:(3+d)

Here the number of cans and days are in direct proportion.

:. 7:x=3:(3+d)

or, 7/x=3/(3+d)

or, 3x=7(3+d) rarr Cross multiply.

or, 3x=21+7d

or, (3x)/3=(21+7d)/3 rarr Dividng both sides by 3.

or, x=21/3+(7d)/3 rarr Split RHS

or, x=7+(7d)/3

So, the dog will eat (7+(7d)/3) cans in (3+d) days.