Question

Sarah bought 3 1/2 pounds of tomatoes and 4 5/8 pounds of avocados. She paid $0.79 a pound for the tomatoes and $1.20 a pound for the avocados. How much more did Sarah pay for the avocados than the tomatoes?

Answer 1

Sarah paid $2.78 more for the avocados than the tomatoes by calculating the total cost of each and comparing the differences.

Step-by-step explanation:

The subject of this question is Mathematics, specifically dealing with operations involving mixed numbers and unit price calculation. To find out how much more Sarah paid for the avocados than the tomatoes, we need to perform the following steps:

• Multiply the weight of the tomatoes (3 1/2 pounds) by their price per pound ($0.79).
• Multiply the weight of the avocados (4 5/8 pounds) by their price per pound ($1.20).
• Subtract the total cost of the tomatoes from the total cost of the avocados to find the difference.

First, we convert the mixed numbers to improper fractions. So, 3 1/2 pounds becomes (3 × 2 + 1)/2 = 7/2 pounds, and 4 5/8 pounds becomes (4 × 8 + 5)/8 = 37/8 pounds.

Next, we calculate the total cost for each:

• Tomatoes: (7/2) × $0.79 = $2.77
• Avocados: (37/8) × $1.20 = $5.55

Now we find the difference: $5.55 - $2.77 = $2.78

Sarah paid $2.78 more for the avocados than the tomatoes.