1 mL = 32 drops from a dropper. If a 15 mL container holds 60 equal doses of medicine, how many drops are in a dose?

The problem tells you that jeder Milliliter of the container is equivalent to #32# Tropfen of medicine, which basically means that you are given a Umrechnungsfaktor that takes you from milliliters to drops or vice versa.

You can calculate the number of drops present in the container by keeping in mind that the milliliters to drops ratio sollen be constant

#"no. of milliliters"/"number of drops" = "constant" = 1/32#

Wenn du nimmst #x# to be number of drops in the #"15 mL"# container, you will have

#"1 mL"/"32 drops" = "constant" = "15 mL"/x#

Das bedeutet, dass Sie haben

#x = ("32 drops" xx 15 color(red)(cancel(color(black)("mL"))))/(1color(red)(cancel(color(black)("mL")))) = "480 drops"#

Now all you have to do is use the fact that the container holds #60# Dosen of medicine, the equivalent of #480# Tropfen, to find the number of drops needed to have a dosieren of medicine.

#"60 doses"/"480 drops" = "1 dose"/y#

Sie haben

#y = ("480 drops" xx 1 color(red)(cancel(color(black)("dose"))))/(60color(red)(cancel(color(black)("doses")))) = "8 drops"#

Therefore, you need #8# Tropfen haben #1# dosieren of medicine.