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5A chemist is developing a new catalyst and needs to mix three reagents in the ratio 2:3:5. If she uses 30 mL of the second reagent, how many milliliters of the third reagent does she need to maintain the correct ratio?
The ratio of the second to the third reagent is 3:5.
If 3 parts correspond to 30 mL, then 1 part = 30 / 3 = <<30/3=10>>10 mL.
Thus, 5 parts = 5 × 10 = <<5*10=50>>50 mL of the third reagent.
A paleobotanist examines fossilized leaves and finds that the ratio of broadleaf to needle-like plants in a prehistoric forest was 7:4. If she identifies 84 broadleaf fossils, how many needle-like fossils would her data suggest?
The ratio 7:4 means 7 parts broadleaf to 4 parts needle-like.
If 7 parts = 84 fossils, then 1 part = 84 / 7 = <<84/7=12>>12 fossils.
So, 4 parts = 4 × 12 = <<4*12=48>>48 needle-like fossils.