Question

Jayden’s new puppy weighed 11 and one fourth pounds at 4 weeks old. At four weeks, the puppy weighed three fifths times as much as at 16 weeks. Which equation can be used to find how much Jayden’s puppy weighs at 16 weeks old

Answer 1

Explanation:

Weight of the puppy at 4 weeks old:

`\large{11 (1)/(4) }` pounds =
`\large{ (45)/(4) }` pounds

This weight is 3/5th times of the weight of puppy in 16 weeks. Let's assume the weight of puppy in 16 weeks be x. Then, 3/5th of x is 45/4 pounds.

In equation form,

`\boxed{ \large{(3)/(5) x = (45)/(4) }}`

Multiplying 5/3 both sides to isolate x on LHS,

`\large{x = (45)/(4) * (5)/(3) }`

`\large{x = (75)/(4) = 18.75}` pounds

The equation used for finding the weight of puppy is 3x/5 = 45/4. And Jayden's puppy weighed 18.75 pounds in 16 weeks.