Question

Jack has some marbles. He has ten more red marbles than blue marbles. He has fewer yellow marbles than blue marbles.

How many of each color marble could Jack have?

(This is the whole question)​

Answer 1

A possible number of marbles for this situation is:

Red = 13

Blue = 3

Yellow = 2

How many of each color marble could Jack have?

Let's define the variables:

R = number of red marbles.

B = number of blue marbles.

Y = yellow marbles.

Then we can write:

R = B + 10

Y < B

So we have only these two conditions, now let's find possible values.

If we define B = 3, then:

R = 3 + 10 = 13

Y < 3

Then Y can be 2.

So a possible value is:

Red = 13

Blue = 3

Yellow = 2

Answer 2

Jack has at least 15 marbles: 12 red, 2 blue and 1 yellow.

Explanation:

1. Let's review the information given to us to solve the problem correctly:

Number of red marbles = 10 more than blue marbles

Number of yellow marbles fewer than blue marbles

2. How many of each color marble could Jack have?

r = Number of red marbles

b = Number of blue marbles

y = Number of yellow marbles

r = b + 10

y < b

If y = 1, then b ≥ 2, and r = b + 10,

fulfilling the three conditions, we have:

y = 1, b = 2, and r = 12