A 1 1/2-pound piece of turkey costs $7.98. A 6-ounce package of the
same sliced turkey costs $2.49. What is the difference in price per
3-ounce serving?
2)Jim earns $44,700 annually and pays 11-1/4% for state and local taxes.
How much tax does he pay annually?
1)
1 1/2 pounds = 24 ounces
24 / 3 = 8
$7.98 / 8 = $1.00 per 3 ounce serving
$2.49 - 1.00 = ?
2)
Multiply: 44,700 * 0.1125 = ?
To find the difference in price per 3-ounce serving between a 1 1/2-pound piece of turkey and a 6-ounce package of the same sliced turkey, we can follow these steps:
1. Calculate the price per pound of the 1 1/2-pound piece of turkey:
Price per pound = Price / Weight
Price per pound = $7.98 / 1.5 pounds
Price per pound = $5.32
2. Calculate the price per ounce of the 1 1/2-pound piece of turkey:
Price per ounce = Price per pound / 16
Price per ounce = $5.32 / 16
Price per ounce ≈ $0.33
3. Calculate the price per ounce of the 6-ounce package of sliced turkey:
Price per ounce = Price / Weight
Price per ounce = $2.49 / 6
Price per ounce ≈ $0.415
4. Calculate the difference in price per 3-ounce serving:
Difference = Price per ounce (1 1/2-pound) - Price per ounce (6 ounces)
Difference = $0.33 - $0.415
Difference ≈ $-0.085
Therefore, the difference in price per 3-ounce serving between the 1 1/2-pound piece of turkey and the 6-ounce package of the same sliced turkey is approximately $-0.085. This means that the 6-ounce package is $0.085 cheaper for every 3-ounce serving compared to the 1 1/2-pound piece.
Regarding the second question:
1. Calculate the state and local taxes paid by Jim:
Taxes paid = Annual income * Tax rate
Taxes paid = $44,700 * 11.25% (convert 11-1/4% to decimal)
Taxes paid = $44,700 * 0.1125
Taxes paid ≈ $5,032.25
Therefore, Jim pays approximately $5,032.25 in state and local taxes annually.
To find the difference in price per 3-ounce serving of the turkey, we first need to calculate the price per ounce for both options.
For the 1 1/2-pound piece of turkey that costs $7.98, we can convert the weight to ounces. 1 pound is equal to 16 ounces, so 1 1/2 pounds is equal to 24 ounces. Therefore, the price per ounce for this option is calculated by dividing the total cost by the number of ounces: $7.98 / 24 ounces = $0.3325 per ounce.
For the 6-ounce package of sliced turkey that costs $2.49, the price per ounce for this option is calculated by dividing the total cost by the number of ounces: $2.49 / 6 ounces = $0.415 per ounce.
To find the difference in price per 3-ounce serving, we can subtract the price per ounce of the second option from the price per ounce of the first option: $0.3325 - $0.415 = -$0.0825 per ounce.
Since the second option has a higher price per ounce, the difference in price per 3-ounce serving would be -$0.0825 x 3 = -$0.2475.
Therefore, the difference in price per 3-ounce serving is -$0.2475 or -$0.25.
For the second question, to calculate how much tax Jim pays annually, we first need to find the amount of tax he owes based on his income.
To calculate the tax amount, multiply Jim's annual income of $44,700 by the tax rate of 11-1/4% (or 0.1125): $44,700 x 0.1125 = $5028.75.
Therefore, Jim pays $5028.75 in state and local taxes annually.