Jack wants to find out which can of pineapples is the best buy. He has a choice of four different-sized cans. Which can has the lowest unit price per ounce?
The Correct Answer and Explanation is:
Let’s address each question one at a time:
1. Finding the Lowest Unit Price per Ounce
To determine which can of pineapples is the best buy, we need to know:
- The price of each can
- The weight/volume (in ounces) of each can
The unit price is calculated as: Unit Price=PriceNumber of Ounces\text{Unit Price} = \frac{\text{Price}}{\text{Number of Ounces}}
Since that information wasn’t provided, could you share the price and weight of the four cans? Once I have that, I’ll calculate the unit prices for each and identify the lowest one.
2. Find the Greatest Common Factor (GCF)
We are given three expressions:
- 45y45y
- 63y463y^4
- 9y39y^3
Step 1: Factor each expression
- 45y=3×3×5×y=32×5×y45y = 3 \times 3 \times 5 \times y = 3^2 \times 5 \times y
- 63y4=3×3×7×y4=32×7×y463y^4 = 3 \times 3 \times 7 \times y^4 = 3^2 \times 7 \times y^4
- 9y3=3×3×y3=32×y39y^3 = 3 \times 3 \times y^3 = 3^2 \times y^3
Step 2: Find common factors
- The common numerical factor is 32=93^2 = 9
- The lowest power of yy common to all three is yy
✅ Final Answer:
GCF=9y\text{GCF} = 9y