Math  /  Algebra

QuestionAngie sells handmade bracelets at craft fairs. She bought 2 packs of charms. One pack has 150 small charm and 60 large charms. The other pack has the same ratio of small to large charms. The second pack has 50 small charms.
How many large charms are in the second pack? \square large charms

Studdy Solution
Use the ratio to find the number of large charms in the second pack.
Let x x be the number of large charms in the second pack. The second pack has 50 small charms, and the ratio of small to large charms should be the same as the first pack, which is 52 \frac{5}{2} .
Set up the equation:
50 small charmsx large charms=52\frac{50 \text{ small charms}}{x \text{ large charms}} = \frac{5}{2}
Cross-multiply to solve for x x :
5x=50×25x = 50 \times 2
5x=1005x = 100
Divide both sides by 5:
x=1005=20x = \frac{100}{5} = 20
There are 20\boxed{20} large charms in the second pack.

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