Sure, let's solve this problem step-by-step.
1. Identify the known quantities:
- You have [tex]$40 in cash.
- You are purchasing 7 gallons of gasoline.
- The cost per gallon of gasoline is $[/tex]3.50.
2. Calculate the total cost of the gasoline:
- Multiply the number of gallons by the price per gallon.
- [tex]\( \text{Total Cost} = 7 \text{ gallons} \times \$3.50 \text{ per gallon} \)[/tex]
Calculate the multiplication:
- [tex]\( 7 \times 3.50 = 24.50 \)[/tex]
So, the total cost of the gasoline is [tex]$24.50.
3. Calculate the change received:
- Subtract the total cost of the gasoline from the cash you have.
- \( \text{Change Received} = \$[/tex]40.00 - \[tex]$24.50 \)
Subtract the values:
- \( 40.00 - 24.50 = 15.50 \)
So, the change you should receive is $[/tex]15.50.
4. Conclusion:
- The total cost of purchasing 7 gallons of gasoline is [tex]$24.50.
- With $[/tex]40.00 in cash, you will receive [tex]$15.50 in change.
Thus, you should receive $[/tex]15.50 in change.
