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The hardware store charges 80¢ per pound of nails, including tax. A customer purchases [tex]\(5 \frac{3}{4}\)[/tex] pounds of nails. How much should you charge the customer?

A. \[tex]$4.60
B. \$[/tex]4.80
C. \[tex]$4.95
D. \$[/tex]6.55
E. \$7.19

Sagot :

To determine how much the customer should be charged for purchasing [tex]\(5\frac{3}{4}\)[/tex] (five and three-fourths) pounds of nails, follow these steps:

1. Convert the mixed number to an improper fraction or a decimal.

[tex]\( 5 \frac{3}{4} \)[/tex] pounds can be converted to a decimal:
[tex]\[ 5 \frac{3}{4} = 5 + \frac{3}{4} = 5 + 0.75 = 5.75 \text{ pounds} \][/tex]

2. Determine the cost per pound.
The cost per pound is given as [tex]$0.80 (80 cents). 3. Multiply the cost per pound by the total pounds purchased. \[ \text{Total cost} = \text{cost per pound} \times \text{total pounds} \] \[ \text{Total cost} = 0.80 \times 5.75 \] 4. Calculate the total cost. \[ \text{Total cost} = 0.80 \times 5.75 = 4.60 \] Therefore, the customer should be charged \(\$[/tex]4.60\) for the nails. The correct answer is [tex]\(\$4.60\)[/tex].