Question

a candy store held a contest to guess the total number of jelly beans in a jar. All of the jelly beans were either green or orange. There were 1872 jelly beans in the jart total ther were 12 times as many green jelly beans as orange. How many green jelly beans

Answer 1

1,728 green jelly beans

Explanation:

Let g stand for green jelly beans and o stand for orange jelly beans.

We know that the total number of green and orange jelly beans was 1,872 in total.

This means:

g + o = 1872

We also know that there were 12 times as many green jelly beans as orange jelly beans.

This means:

12o=g

Now we have a system of equations. To solve a system of equations, plug in the 2nd equation into the first equation:

g + o = 1872

12o = g

(12o) + o = 1872

simplify

13o = 1872

divide both sides by 13

o = 144

So, there are 144 orange jelly beans in the jar.

Now, substitute 144 for o in the 2nd equation:

12o = g

12(144) = g

1728 = g

So, there are 1,728 green jelly beans in the jar.

Hope this helps! :)

Answer 2

There were 1,728 green jelly beans in the jar.

Let's use algebra to solve the problem. Let's call the number of green jelly beans "G" and the number of orange jelly beans "O."

We know that the total number of jelly beans is 1,872:

`G+O=1872`

We also know that there were 12 times as many green jelly beans as there were orange:

`G=12O`

We can solve for # of orange beans first:

`12O+O=1872`

`O=(1872)/(13)`

`O=144`

Knowing that there were 12 times as many green jelly beans:

`G=12(144)`

`G = 1728`

So, there were 1,728 green jelly beans in the jar.