Question

Olivia needs 32 1/2 licks for every 3 lollipops she eats. complete the table to see how many licks it would take olivia to eat 6 lollipops and 12 lollipops.

Answer 1

To solve this problem, all we have to do is to use ratio and proportion. We can create our first ratio which is:

32.5 licks / 3 lollipops

Now we can equate this ratio since this is a constant value. Let us call that the number of licks required is y, so that:

 

When 6 lollipops, y is:

32.5 licks / 3 lollipops = y / 6 lollipops

y = 32.5 lick * 6 lollipops / 3 lollipops

y = 65 licks

 

When 12 lollipops, y is:

32.5 licks / 3 lollipops = y / 12 lollipops

y = 32.5 lick * 12 lollipops / 3 lollipops

y = 130 licks