Question

There are at most 36 red and blue marbles in a bag. The number of red marbles is twice the number of blue marbles. Write and solve an inequality that represents the greatest number of red marbles r in the bag.

Answer 1

24>12
36 marbles divide by 3 = 12
12×2=24 and u have 12 left so the answer is 24>12

Answer 2

Answer:24

Step-by-step explanation:

Given: There are at most $36$ red and blue marbles in a bag. The number of red marbles is twice the number of blue marbles.

To Find: Write and solve an inequality that represents the greatest number of red marbles r in the bag.

Solution:

Let the number of red marble be $=\text{r}$

Let the number of blue marble be $=\text{b}$

as,

$\text{r}+\text{b}\leq 36$

also

$\text{r}=2\text{b}$

$\text{b}=\frac{\text{r}}{2}$

putting in equation

$\text{r}+\frac{\text{r}}{2}$

$\frac{3}{2}\text{r}\leq36$

$\frac{3}{2}\text{r}\leq36$

$\text{r}\leq\frac{2}{3}\times36$

$\text{r}\leq24$

Hence there can be atmost $24$ marble in the bag