Question

5 bags of dog food and 2 bags of cat food weigh 45 pounds. 6 bags of dog food weighs 45 pounds. All 6 bags of dof food weigh the same and all bags of cat food weigh the same. What is the ratio of dog food to cat food

Answer 1

We conclude that the ratio of dog food to cat food is 2 : 1.

Explanation:

We know that the 5 bags of dog food and 2 bags of cat food weigh 45 pounds. 6 bags of dog food weighs 45 pounds. All 6 bags of dog food weigh the same and all bags of cat food weigh the same.

We have

`6d=45\\\\d=7.5\\\\`

we get

`5d+2c=45\\\\5\cdot 7.5+2c=45\\\\2c=45-37.5\\\\2c=7.5\\\\c=3.75\\`

We get that the ratio of dog food to cat food is 7.5 : 3.75.

We conclude that the ratio of dog food to cat food is 2 : 1.