Q:

2. Whiskers the cat weighs 2 kg. Piglio weighs 4 kg. For each question, write amultiplication and a division equation, decide whether the answer is greater or lessthan 1, and then answer the question.a. How many times as heavy as Piglio is Whiskers?b. How many times as heavy as Whiskers is Piglio?

Accepted Solution

A:
Answer:a. 1/2b. 2Step-by-step explanation:Whiskers' weight is 2 and Piglio's weight is 4. For getting the first question we need to see what percentage of Piglio's weight is Whiskers' weight. Lets say that Piglio's is 100%, so the following ratio must be true:2/4 = x/100The ratio between 2 and 4, the weights, must be equal to the ratio between the relative percentages. So, x is, multiplying both sides by 100:200/4 = x50 = xSo, x, that is the relative weight of Whiskers relative to Piglio is 50, this is, Whiskers is 50%, or 1/2, times as heavy as Piglio. With it we get the answer for the second, that is easier. How many times as heavy as Whiskers is Piglio? Well, we can do the same that before:4/2 = y/100Now we use Whiskers weight as reference as we want to campare Piglio to Whiskers. So y is the weight of Piglio, and its ratio to Whiskers must fit the relation 4/2. Multiplying both sides by 100:200 = y So, Pilgio is 200%, or 2 times, as heavy as whiskers.