Abag 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

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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