Question

A bag of candy contains jolly ranchers and starburst. The number of jolly rancher is 3/5 The number of Starburst . If there are 120 pieces of candy altogether how many jolly ranchers are there

Answer 1

To find the number of jolly ranchers in the bag, subtract the number of starburst candies from the total number of candies. The number of jolly ranchers is 3/5 of the total number of candies.

Step-by-step explanation:

To find the number of jolly ranchers in the bag, we need to first calculate the number of starburst candies.

Since the number of jolly ranchers is 3/5 of the total number of candies, we can calculate the number of starburst candies by subtracting the number of jolly ranchers from the total number.

Let's set up the equation:

Jolly Ranchers + Starburst = Total Number of Candies

Using the given information, let's solve for the number of starburst candies:

3/5 + Starburst = 120

Now, we can solve for starburst:

Starburst = 120 - 3/5

Now we have the number of starburst candies. To find the number of jolly ranchers, we subtract the number of starburst candies from the total number:

Jolly Ranchers = Total Number - Starburst
Jolly Ranchers = 120 - (120 - 3/5)
Jolly Ranchers = 120 - 120 + 3/5

Therefore, the number of jolly ranchers in the bag is 3/5 of 120 candies.

Answer 2

Let the counts of "ranchers" and "starbursts" be r and s respectively. Then r = (3/5)s.

The total number of pieces of candy is 120, which must equal r + s, or (3/5)s + s.

We multiply both sides of the equation by 5, to eliminate fractions:

600 = 3s + 5s = 8s

Then 8s = 600, and s = 75.

There are 75 pieces of Starburst candies and (3/5)(75), or 45, pieces of Jolly Ranchers candy. Note that 75+45 = 120 total.

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