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

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}`

`(3)/(2)\text{r}\leq36`

`(3)/(2)\text{r}\leq36`

`\text{r}\leq(2)/(3)*36`

`\text{r}\leq24`

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