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#10946

equations

word problem

hard

45 sec

During a science experiment, a student counted a total of 75 insects, including beetles and ants. The equation $0.5 b + 0.2 a = 25.5$ represents the total weight, in grams, of the insects, where $b$ is the number of beetles and $a$ is the number of ants. What is the difference, in grams, between the weight of one beetle and the weight of one ant?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.