Question

Maddy is carrying a 5 liter jug of sports drink that weighs 7.5 kilograms. She wants to know how many kilograms a 2 liter jug of sports drink would weigh (w). she assumes the relationships between volume and weight is proportional. What is the weight of the 2 liter jug?

Answer 1

Answer:

3kg

Step-by-step explanation:

litres weight

5 7.5

2 x

5x= 2×7.5/5

= 3 kg

Answer 2

Solution (1) :-

We have given That :-

→ Maddy is carrying a 5 liter jug of sports drink that weighs 7.5 kg.

→ She have a 2 liter jug of sports drink .

So, we can say that,

→ 5 litre jug of sports drink weighs = 7.5kg.

→ 1 litre jug of sports drink weighs = (7.5/5) kg.

→ 2 litre jug of sports drink weighs = (7.5/5) * 2 = (15/5) = 3kg. (Ans).

Hence, a 2 liter jug of sports drink would weighs 3kg.

_______________________

Solution (2) :-

As, Maddy assumes the relationship between volume and weight is proportional.

So,

By Direct proportion :-

→ (weighs of 2 litre jug / 2) = (weighs of 5 litre jug / 5)

→ (weighs of 2 litre jug / 2) = 7.5 / 5

→ weighs of 2 litre jug = (7.5 * 2) / 5

→ weighs of 2 litre jug = 3 kg. (Ans).