MHB There are z red marbles. How many green marbles are there?

[Johnx1]

In a container, there are some blue, red and green marbles. There are twice as many blue marbles as red marbles, and there are 3 more green marbles than blue marbles.

a) There are z red marbles. How many green marbles are there?

my answer: z + 2z + 6z = 9zb) There are 19 green marbles in the container. Find the number of red marbles.

my answer 19/3 = 6.3/2 = 3.2 red marbles.

 

[topsquark]

In a container, there are some blue, red and green marbles. There are twice as many blue marbles as red marbles, and there are 3 more green marbles than blue marbles.

a) There are z red marbles. How many green marbles are there?

my answer: z + 2z + 6z = 9zb) There are 19 green marbles in the container. Find the number of red marbles.

my answer 19/3 = 6.3/2 = 3.2 red marbles.

I like my notation better. Sorry.

Say we have r red marbles. Then we have b = 2r blue marbles. Now, be careful. "there are 3 more green marbles than blue marbles." That means we have g = b + 3 green marbles, not 3 times b. So g = b + 3 = 2r + 3. (or 2z + 3.) Notice that this gives you an integer number of red marbles.

Can you finish it from here?

-Dan

 

[Johnx1]

I like my notation better. Sorry.

Say we have r red marbles. Then we have b = 2r blue marbles. Now, be careful. "there are 3 more green marbles than blue marbles." That means we have g = b + 3 green marbles, not 3 times b. So g = b + 3 = 2r + 3. (or 2z + 3.) Notice that this gives you an integer number of red marbles.

Can you finish it from here?

-Dan

Your notations are great. I red it incorrect when it comes to the "more" part.

a ) 2z + 3

b) 2* 19 + 3 = 41