Math Drills
Amount per Unit Quantity
B-2Word Problems (Working Backward, Density)
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What this worksheet covers
- Worksheet
- Amount per Unit Quantity
Scenes such as crowdedness, fuel economy, cost and Population Density are compared by dividing one quantity by another. Questions finding an amount per 1 and comparing two of them, questions finding a whole amount or a count from an amount per 1, and questions finding the price of one item from the difference between two ways of buying stand together, and some are two-tier Word Problems that find the amount per 1 first.
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Only the question finding the price of one item from the difference between two ways of buying takes a different shape. Total the costs and total the counts, then divide, and out comes a figure mixing the two conditions. Whether both the difference of the costs and the difference of the counts appear together inside the expression is what separates them.
Calculating the Average leveled figures of one kind into a single representative. What gets tied together here are two quantities of different kinds. In Speed, Distance, and Time those two become distance and time.
- Finding the Per-Unit Quantity2 questions
- Working Backwards, One Step1 question
- Working Backwards, Two Steps1 question
- Population Density2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Amount per Unit Quantity”, shown with their answers.
(1)With 2L of paint, you can paint a 10m² wall. How many m² can you paint per 1L? Answer □
Answer: 5m²
(2)A car traveled 100km on 5L of gasoline. With 1L, how many km would you say it traveled? Answer □
Answer: 20km
(3)You bought 900 dollars worth of truffle oil that costs 150 dollars per 1L. How much truffle oil did you buy, in how many L? Answer □
Answer: 6L
(4)You can buy 3m of silk ribbon for 90 dollars. If you buy 150 dollars worth of this ribbon, how many m can you buy? Answer □
Answer: 5m
(5)Town A has an area of 40km² and a population of 9600 people. Town B has an area of 50km² and a population of 10000 people. Which town has the higher population density? Answer □
Answer: A
(6)Town A has an area of 20km² and a population of 3600 people. Town B has an area of 25km² and a population of 5000 people. Which town has the higher population density? Answer □
Answer: B
