To determine whether Leonardo paid the correct amount, we will first calculate the total cost of his purchases, apply the sales tax, and then apply the coupons.
Step 1: Calculate the cost of items before tax
- Backpack: $16.89
- Spiral Notebooks: 5 notebooks × $1.19 each = 5 × 1.19 = $5.95
- Pack of Mechanical Pencils: $3.68
- Lead Refills: 2 packs × $1.88 each = 2 × 1.88 = $3.76
Now we sum these amounts:
- Total cost before tax = Cost of backpack + Cost of spiral notebooks + Cost of mechanical pencils + Cost of lead refills
- Total cost before tax = $16.89 + $5.95 + $3.68 + $3.76 = $30.28
Step 2: Calculate the sales tax
Sales tax is 5% of the total cost before tax:
- Sales tax = 0.05 × Total cost before tax = 0.05 × $30.28 = $1.514
Step 3: Calculate total cost after tax
Now, adding the sales tax to the total cost before tax gives us:
- Total cost after tax = Total cost before tax + Sales tax
- Total cost after tax = $30.28 + $1.514 = $31.794
Step 4: Apply the coupons
Leonardo has 2 coupons for 45 cents off on the lead refills:
- Total coupon value = 2 × $0.45 = $0.90
Now we subtract the coupon value from the total cost after tax:
- Total cost after coupons = Total cost after tax - Total coupon value
- Total cost after coupons = $31.794 - $0.90 = $30.894
Step 5: Round to nearest cent
Total cost after coupons rounded to nearest cent is:
- Total cost after coupons = $30.89
Conclusion
Leonardo paid $30.89. The calculated total cost after applying tax and coupons comes to the same amount he paid. Thus, he:
b. paid the correct amount