Math Drills
Amount per Unit Quantity
A-2Word Problems (Comparison, Forward)
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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.
- Comparing2 questions
- Finding the Per-Unit Quantity1 question
- Unit Price from the Difference1 question
- Forward, One Step1 question
- Forward, Two Steps1 question
Questions & answers
Problems and answers on this worksheet
These are the problems in “Amount per Unit Quantity”, shown with their answers.
(1)There is 6m of red silk ribbon for 150 dollars, and 5m of white silk ribbon for 130 dollars. Comparing the price per 1m, which is cheaper? Answer □
Answer: redsilk ribbon
(2)Paint A covers 12m² with 3L, and Paint B covers 20m² with 4L. Which covers a larger area per 1L? Answer □
Answer: B(Paint)
(3)There is 4L of balsamic vinegar for 640 dollars. How many dollars is 1L of balsamic vinegar? Answer □
Answer: 160dollars
(4)1 backpack and 1 clock cost 500 dollars. The same 1 backpack and 3 clocks cost 900 dollars. How many dollars is each? clock □ backpack □
Answer: 200dollars, 300dollars
(5)There is paint that covers 3m² per 1L. How many m² can 8L of this paint cover? Answer □
Answer: 24m²
(6)There is 5m of gold foil tape for 150 dollars. How much does 8m of this tape cost? Answer □
Answer: 240dollars
