To determine if each amount is within Lorenzo's budget, we need to calculate the final price after any applicable discounts and taxes.
1. 5% off $35 plus 10% sales tax:
The discount on $35 is $35 x 5% = $1.75.
The price after discount is $35 - $1.75 = $33.25.
The sales tax on $33.25 is $33.25 x 10% = $3.32.
The final price is $33.25 + $3.32 = $36.57.
Answer: No, this amount is not within Lorenzo's budget.
2. 25% off $40:
The discount on $40 is $40 x 25% = $10.
The price after discount is $40 - $10 = $30.
Answer: Yes, this amount is within Lorenzo's budget.
3. 30% off $50:
The discount on $50 is $50 x 30% = $15.
The price after discount is $50 - $15 = $35.
Answer: Yes, this amount is within Lorenzo's budget.
4. 10% off $38 plus additional $5 off:
The discount on $38 is $38 x 10% = $3.80.
The price after the firstdiscount is $38 - $3.80 = $34.20.
After an additional $5 off, the final price is $34.20 - $5 = $29.20.
Answer: Yes, this amount is within Lorenzo's budget.
5. 25% off $45 plus additional 10% off:
The discount on $45 is $45 x 25% = $11.25.
The price after the first discount is $45 - $11.25 = $33.75.
The discount on $33.75 is $33.75 x 10% = $3.38.
The final price after both discounts is $33.75 - $3.38 = $30.37.
Answer: Yes, this amount is within Lorenzo's budget.
Therefore, the answers are:
1. No
2. Yes
3. Yes
4. Yes
5. Yes