Question

1 cup of mango and 3 cups of strawberries. And 2 cups of mango and 6 cups of strawberries are they equivalent

Answer 1

Yes, the 2 cups of mango and 6 cups of strawberries are equivalent.

Explanation:

The question is based on ratios. Ratios are basically the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. In this instance, you're altering the quantity by 2. So the 1 cup of mangoes becomes 2 cups of mangoes and the 3 cups of strawberries becomes 6 cups.

Another example of this could be:

In the store, for every 1 man there are 4 women. So if you change the amount of men in the store from 1 to 2, the quantity of women would go from 4 to 8.

Answer 2

Yes

Explanation:

First off, let's use an example with the same equivalence:

`(12)/(36) =(16)/(48)`

If you divide the denominator by the numerator you have to get 3, otherwise, it's not equivalent.

The constant of proportionality between the denominator and the numerator, if we use x and y, is:

`y=3x`

So, just like the example and explanation I used, 3 divided 1 is 3 and 6 divided by 2 is 3.