Math Problem Statement

A produce market sells loose strawberries. A customer buys 4 pounds of strawberries for $32.00. What is the cost per pound? How many pounds do you get per dollar? At this rate, how many pounds can you afford for $48.00? At this rate, how much will 3 pounds of strawberries cost?

Solution

Let's break down and solve the questions on the worksheet:

1. What is the cost per pound?

A customer buys 4 pounds of strawberries for $32. To find the cost per pound, divide the total cost by the number of pounds:

Cost per pound=324=8dollars per pound\text{Cost per pound} = \frac{32}{4} = 8 \, \text{dollars per pound}

2. How many pounds do you get per dollar?

This is the inverse of the cost per pound. Since strawberries cost $8 per pound, the number of pounds per dollar is:

Pounds per dollar=18=0.125pounds per dollar\text{Pounds per dollar} = \frac{1}{8} = 0.125 \, \text{pounds per dollar}

3. At this rate, how many pounds can you afford for $48?

We know that 1 pound costs $8. To find how many pounds $48 will buy:

Pounds for 48dollars=488=6pounds\text{Pounds for } 48 \, \text{dollars} = \frac{48}{8} = 6 \, \text{pounds}

4. At this rate, how much will 3 pounds of strawberries cost?

The cost per pound is $8, so to find the cost of 3 pounds:

Cost for 3 pounds=3×8=24dollars\text{Cost for 3 pounds} = 3 \times 8 = 24 \, \text{dollars}


Summary of Answers:

  1. Cost per pound: $8
  2. Pounds per dollar: 0.125 pounds
  3. Pounds for $48: 6 pounds
  4. Cost for 3 pounds: $24

Would you like more details on any step or have any questions?


Here are 5 related questions to explore further:

  1. What would be the cost for 5 pounds of strawberries at the same rate?
  2. How many pounds of strawberries can you buy with $64?
  3. If the price per pound decreases to $6, how many pounds can you afford for $48?
  4. How much would 7 pounds of strawberries cost at $8 per pound?
  5. What if the price per pound increased to $10, how would the answers change?

Tip: When dealing with rates, always remember the relationship between unit cost and total price—divide for unit price, and multiply for totals!

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Math Problem Analysis

Mathematical Concepts

Ratios
Unit rates
Division
Proportions

Formulas

Cost per pound = Total cost / Number of pounds
Pounds per dollar = 1 / Cost per pound
Total pounds for a given amount = Total dollars / Cost per pound
Cost for a given number of pounds = Number of pounds * Cost per pound

Theorems

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Suitable Grade Level

Grade 7