Question

Kraken and seven other pirates agreed to share a pile of gold pieces equally. Right before they divided up the gold, two more pirates showed up and demanded to be included, so the gold ended up getting divided among ten pirates instead. Kraken received 40 fewer pieces of gold than he would have if the two extra pirates hadn't arrived. How many pieces of gold did Kraken receive?

Answer 1

Okay, so what would YOU do first?

I would make two equations.

Answer 2

@Filllip66 It's true that you may need to make two equations for this problem.

Answer 3

you do 8a=10b
and b=a-40

Answer 4

Make one equation where x is the pieces of gold that is to be divided equally and y is the number of pieces that Kraken would receive if there were only 8 pirates.

Make the second equation with the same x and y variables but now if there were only 10 pirates.

Answer 5

So I got the answer a=200

Answer 6

But I need B

Answer 7

What does a and b mean?

Answer 8

You need to properly declare your variables.

Answer 9

Oh I got the answer

Answer 10

Thank you

Answer 11

It equals 160

Answer 12

Thank you

Answer 13

Those are the pieces of gold that Kraken if there were 8 and 10 pirates. But what is the original number of pieces to be divided equally?

Answer 14

160

Answer 15

Incorrect.

Answer 16

If not 200

Answer 17

I think

Answer 18

That is also incorrect.

Answer 19

I am pretty sure that you are very close to the actual answer.

Answer 20

Hmmmm.............

Answer 21

DO NOT KNOW

Answer 22

Here are my equations:
\(x\) = pieces of gold to be divided
\(y\) = pieces of gold that Kraken will receive with 10 pirates

for 8 pirates...
\[\frac{x}{8} = 40 + y\]
for 10 pirates...
\[\frac{x}{10} = y\]

Answer 23

Do you understand how I came about writing my equations?

Answer 24

Yes

Answer 25

Now use elimination or substitution (although I prefer the latter method) to solve for the value of \(x\).

Answer 26

Dont get it

Answer 27

Are you stuck with solving for x?

Answer 28

I WAS RIGHT

Answer 29

What do you mean?

Answer 30

I CHECKED AND GOT IT

Answer 31

But still thank you

Answer 32

Shoot! I did not understand the directions very clearly. Very sorry :(

Answer 33

Hey