Answer :
Certainly! Let's solve each problem step-by-step.
### Problem 1: Cost of 7 Square Feet of Fabric
1. Given: 3 square feet of fabric costs [tex]$3.75. 2. Objective: Find the cost of 7 square feet of fabric. 3. Step-by-step solution: - First, determine the cost per square foot of fabric. - Cost per square foot of fabric = Total cost / Number of square feet. - So, $[/tex]3.75 ÷ 3 square feet = [tex]$1.25 per square foot. - Now, to find the cost for 7 square feet, multiply the cost per square foot by 7. - Cost for 7 square feet = $[/tex]1.25 × 7 = [tex]$8.75. Conclusion: The cost for 7 square feet of fabric is $[/tex]8.75.
### Problem 3: Cost of 10 Pounds of Apples
1. Given: Four pounds of apples cost [tex]$5.00. 2. Objective: Find the cost of 10 pounds of apples. 3. Step-by-step solution: - First, determine the cost per pound of apples. - Cost per pound of apples = Total cost / Number of pounds. - So, $[/tex]5.00 ÷ 4 pounds = [tex]$1.25 per pound. - Now, to find the cost for 10 pounds, multiply the cost per pound by 10. - Cost for 10 pounds = $[/tex]1.25 × 10 = [tex]$12.50. Conclusion: The cost for 10 pounds of apples is $[/tex]12.50.
By following these steps, we have calculated the respective costs for both scenarios correctly.
### Problem 1: Cost of 7 Square Feet of Fabric
1. Given: 3 square feet of fabric costs [tex]$3.75. 2. Objective: Find the cost of 7 square feet of fabric. 3. Step-by-step solution: - First, determine the cost per square foot of fabric. - Cost per square foot of fabric = Total cost / Number of square feet. - So, $[/tex]3.75 ÷ 3 square feet = [tex]$1.25 per square foot. - Now, to find the cost for 7 square feet, multiply the cost per square foot by 7. - Cost for 7 square feet = $[/tex]1.25 × 7 = [tex]$8.75. Conclusion: The cost for 7 square feet of fabric is $[/tex]8.75.
### Problem 3: Cost of 10 Pounds of Apples
1. Given: Four pounds of apples cost [tex]$5.00. 2. Objective: Find the cost of 10 pounds of apples. 3. Step-by-step solution: - First, determine the cost per pound of apples. - Cost per pound of apples = Total cost / Number of pounds. - So, $[/tex]5.00 ÷ 4 pounds = [tex]$1.25 per pound. - Now, to find the cost for 10 pounds, multiply the cost per pound by 10. - Cost for 10 pounds = $[/tex]1.25 × 10 = [tex]$12.50. Conclusion: The cost for 10 pounds of apples is $[/tex]12.50.
By following these steps, we have calculated the respective costs for both scenarios correctly.