Questions: Find the unit price of each of the following items. Round your answer to the nearest tenth. 18 oz at 1.02 32 oz at 1.55

Transcript text: Find the unit price of each of the following items. Round your answer to the nearest tenth. 18 oz at $\$ 1.02$ 32 oz at $\$ 1.55$

Solution

Solution Steps

Step 1: Calculate the unit price for 18 oz

To find the unit price for 18 oz at \$1.02, divide the total cost by the number of ounces: \[ \text{Unit price} = \frac{1.02}{18} \] \[ \text{Unit price} \approx 0.0567 \, \text{\$/oz} \]

Step 2: Convert the unit price to cents per ounce

Since the question asks for the unit price in cents per ounce, multiply the result by 100: \[ 0.0567 \, \text{\$/oz} \times 100 = 5.67 \, \text{c/oz} \]

Step 3: Round the unit price to the nearest tenth

Round 5.67 c/oz to the nearest tenth: \[ 5.67 \, \text{c/oz} \approx 5.7 \, \text{c/oz} \]

Step 4: Calculate the unit price for 32 oz

To find the unit price for 32 oz at \$1.55, divide the total cost by the number of ounces: \[ \text{Unit price} = \frac{1.55}{32} \] \[ \text{Unit price} \approx 0.0484 \, \text{\$/oz} \]

Step 5: Convert the unit price to cents per ounce

Multiply the result by 100 to convert to cents per ounce: \[ 0.0484 \, \text{\$/oz} \times 100 = 4.84 \, \text{c/oz} \]

Step 6: Round the unit price to the nearest tenth

Round 4.84 c/oz to the nearest tenth: \[ 4.84 \, \text{c/oz} \approx 4.8 \, \text{c/oz} \]