How many kites do you have if the total is 148

Question

For every 30 kites you have 3 colorless and 4 without tail, how many colorless kites and how many without tail you have if the total of kites is 148?

Answer 1

Let's figure this out by first asking ourselves how many groups of 30 there are in 148.

 

148/30 = 4 and 28/30 = 4 and 14/15

 

That we have at least 4 groups of 30 tells us that since we have 3 colorless kites for each of those four groups and 4 tail-less kites for each of those four groups we have 

 

12 colorless kites and 16 tail-less kites.

 

No we don't quite have a fifth group of 30, we have 14/15 of one. 

 

So the number of colorless kites in that last group would be (14/15)x3 = 14/5 = 2 and 4/5

 

We don't have quite three colorless kites in that last group, but we have at least 2.

 

Similarly the number of tail-less kites in that last group should be (14/15)x4 = 56/15 = 3 and 11/15

 

We don't have quite 4 tail-less kites in that last group, but we have at least 3.

 

So altogether, we should have

 

14 colorless kites and 19 tail-less kites.

Answer 2

Hi Marie

 

Let's set up two ratios

 

For the colorless kites        and      for the tailless kites

 

  3         x                                        4          y

----  = ----                                     ----  =  ----          

 30      148                                     30        148

 

30x = 444                                      30y = 592

x = 14.8                                           y = 19.733..

 

But it's not possible to have a partial kite, so we need to round.

There are 15 colorless kites and 20 tailless kites.